Question 1

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers.
-$$( x - 4 ) ^ { 2 }$$

Accepted Answer

A)  $x ^ { 2 } + 16$ 
B)  $x + 16$ 
C)  $x ^ { 2 } - 8 x + 16$ 
D)  $16 x ^ { 2 } - 8 x + 16$ 
A)  $x ^ { 2 } + 16$ 
B)  $x + 16$ 
C)  $x ^ { 2 } - 8 x + 16$ 
D)  $16 x ^ { 2 } - 8 x + 16$

Question 2

Add the polynomials. Assume all variable exponents represent whole numbers.
-$$\left( \frac { 1 } { 8 } x ^ { 4 } + \frac { 2 } { 5 } x ^ { 3 } - \frac { 1 } { 6 } x + 7 \right) + \left( - \frac { 5 } { 8 } x ^ { 4 } - \frac { 1 } { 5 } x ^ { 3 } + \frac { 1 } { 3 } x - 9 \right)$$

Accepted Answer

A)  $\frac { 3 } { 4 } x ^ { 8 } + \frac { 3 } { 5 } x ^ { 6 } + \frac { 1 } { 2 } x ^ { 2 } + 16$ 
B)  $\frac { 3 } { 4 } x ^ { 4 } + \frac { 3 } { 5 } x ^ { 3 } + \frac { 1 } { 2 } x + 16$ 
C)  $\frac { 1 } { 8 } x ^ { 8 } + \frac { 2 } { 5 } x ^ { 6 } - \frac { 1 } { 6 } x ^ { 2 } + 7$ 
D)  $- \frac { 1 } { 2 } x ^ { 4 } + \frac { 1 } { 5 } x ^ { 3 } + \frac { 1 } { 6 } x - 2$ 
A)  $\frac { 3 } { 4 } x ^ { 8 } + \frac { 3 } { 5 } x ^ { 6 } + \frac { 1 } { 2 } x ^ { 2 } + 16$ 
B)  $\frac { 3 } { 4 } x ^ { 4 } + \frac { 3 } { 5 } x ^ { 3 } + \frac { 1 } { 2 } x + 16$ 
C)  $\frac { 1 } { 8 } x ^ { 8 } + \frac { 2 } { 5 } x ^ { 6 } - \frac { 1 } { 6 } x ^ { 2 } + 7$ 
D)  $- \frac { 1 } { 2 } x ^ { 4 } + \frac { 1 } { 5 } x ^ { 3 } + \frac { 1 } { 6 } x - 2$

Question 3

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
-$$3 x ^ { 2 } - 6 x$$

Accepted Answer

A)  $3 x ( x - 2 x )$ 
B)  $3 x ( x - 2 )$ 
C)  $x ( 3 x - 6 )$ 
D)  $3 \left( x ^ { 2 } - 2 x \right)$ 
A)  $3 x ( x - 2 x )$ 
B)  $3 x ( x - 2 )$ 
C)  $x ( 3 x - 6 )$ 
D)  $3 \left( x ^ { 2 } - 2 x \right)$

Question 4

Subtract the polynomials. Assume all variable exponents represent whole numbers.
-$$\left( x ^ { 3 } + 7 x y - 4 y ^ { 2 } \right) - \left( 8 x ^ { 3 } + 4 x y + y ^ { 2 } \right)$$

Accepted Answer

A)  $9 x ^ { 3 } + 3 x y - 5 y ^ { 2 }$ 
B)  $7 x ^ { 3 } - 3 x y - 3 y ^ { 2 }$ 
C)  $- 7 x ^ { 3 } + 3 x y - 3 y ^ { 2 }$ 
D)  $- 7 x ^ { 3 } + 3 x y - 5 y ^ { 2 }$ 
A)  $9 x ^ { 3 } + 3 x y - 5 y ^ { 2 }$ 
B)  $7 x ^ { 3 } - 3 x y - 3 y ^ { 2 }$ 
C)  $- 7 x ^ { 3 } + 3 x y - 3 y ^ { 2 }$ 
D)  $- 7 x ^ { 3 } + 3 x y - 5 y ^ { 2 }$

Question 5

Multiply the monomial and the polynomial. Assume any variable exponents represent whole numbers.
-$- 5 x ^ { 5 } ( 11 x + 2 )$

Accepted Answer

A)  $- 55 x ^ { 6 } + 2$ 
B)  $- 55 x - 10$ 
C)  $- 65 x ^ { 5 }$ 
D)  $- 55 x ^ { 6 } - 10 x ^ { 5 }$ 
A)  $- 55 x ^ { 6 } + 2$ 
B)  $- 55 x - 10$ 
C)  $- 65 x ^ { 5 }$ 
D)  $- 55 x ^ { 6 } - 10 x ^ { 5 }$

Question 6

Use the graph to estimate the average number of minutes a woman exercised per week if her average monthly weight loss was 4.4 pounds. A) 115 min B) 120 min C) 135 min D) 127 min Answer: B Determine whether the graph shown is the graph of a polynomial function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 7

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers.
-$$\left( 6 x ^ { 2 } + 11 y \right) ^ { 2 }$$

Accepted Answer

A)  $36 x ^ { 4 } + 157 x ^ { 2 } y + 121 y ^ { 2 }$ 
B)  $36 x ^ { 2 } + 132 x ^ { 2 } y + 121 y ^ { 2 }$ 
C)  $36 x ^ { 4 } + 66 x ^ { 2 } y + 121 y ^ { 2 }$ 
D)  $36 x ^ { 4 } + 132 x ^ { 2 } y + 121 y ^ { 2 }$ 
A)  $36 x ^ { 4 } + 157 x ^ { 2 } y + 121 y ^ { 2 }$ 
B)  $36 x ^ { 2 } + 132 x ^ { 2 } y + 121 y ^ { 2 }$ 
C)  $36 x ^ { 4 } + 66 x ^ { 2 } y + 121 y ^ { 2 }$ 
D)  $36 x ^ { 4 } + 132 x ^ { 2 } y + 121 y ^ { 2 }$

Question 8

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph.
-$$f ( x ) = - 6 x ^ { 3 } + 3 x ^ { 2 } + 3 x + 2$$

Accepted Answer

A)  falls to the left and falls to the right
  
B)  rises to the left and falls to the right
  
C)  rises to the left and rises to the right
  
D)  falls to the left and rises to the right
  
A)  falls to the left and falls to the right
  
B)  rises to the left and falls to the right
  
C)  rises to the left and rises to the right
  
D)  falls to the left and rises to the right

Question 9

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers.
-$$\left( 4 x ^ { n } + 11 y ^ { n } \right) \left( x ^ { n } + 9 y ^ { n } \right)$$

Accepted Answer

A)  $4 x ^ { 2 n } + 47 x ^ { n } y ^ { n } - 99 y ^ { 2 n }$ 
B)  $4 x ^ { 2 n } + 47 x ^ { n } y ^ { n } + 99 y ^ { 2 n }$ 
C)  $4 x ^ { n } + 2 + 47 x ^ { n } y ^ { n } + 99 y n + 2$ 
D)  $4 \mathrm { x } ^ { \mathrm { n } } + 47 \mathrm { x } ^ { \mathrm { n } } \mathrm { y } ^ { \mathrm { n } } + 99 \mathrm { y } ^ { \mathrm { n } }$ 
A)  $4 x ^ { 2 n } + 47 x ^ { n } y ^ { n } - 99 y ^ { 2 n }$ 
B)  $4 x ^ { 2 n } + 47 x ^ { n } y ^ { n } + 99 y ^ { 2 n }$ 
C)  $4 x ^ { n } + 2 + 47 x ^ { n } y ^ { n } + 99 y n + 2$ 
D)  $4 \mathrm { x } ^ { \mathrm { n } } + 47 \mathrm { x } ^ { \mathrm { n } } \mathrm { y } ^ { \mathrm { n } } + 99 \mathrm { y } ^ { \mathrm { n } }$

Question 10

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
-$$\left( 8 - y ^ { 5 } \right) \left( 8 + y ^ { 5 } \right)$$

Accepted Answer

A)  $64 - \mathrm { y } ^ { 10 }$ 
B)  $64 - y ^ { 25 }$ 
C)  $\mathrm { y } ^ { 10 } - 64$ 
D)  $64 - y ^ { 5 }$ 
A)  $64 - \mathrm { y } ^ { 10 }$ 
B)  $64 - y ^ { 25 }$ 
C)  $\mathrm { y } ^ { 10 } - 64$ 
D)  $64 - y ^ { 5 }$

Question 11

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph.
-$$f ( x ) = 4 x ^ { 4 } - 3 x ^ { 2 }$$

Accepted Answer

A)  rises to the left and rises to the right
  
B)  falls to the left and falls to the right
  
C)  rises to the left and falls to the right
  
D)  falls to the left and rises to the right
  
A)  rises to the left and rises to the right
  
B)  falls to the left and falls to the right
  
C)  rises to the left and falls to the right
  
D)  falls to the left and rises to the right

Question 12

Evaluate the polynomial function.
-If $f ( x ) = x ^ { 2 } - 7 x + 9$, find $f ( a + 3 )$.

Accepted Answer

A)  $a ^ { 2 } - 1 a + 21$ 
B)  $a ^ { 2 } - 7 a - 3$ 
C)  $a ^ { 2 } - 1 a - 3$ 
D)  $a ^ { 2 } - 7 a + 6$ 
A)  $a ^ { 2 } - 1 a + 21$ 
B)  $a ^ { 2 } - 7 a - 3$ 
C)  $a ^ { 2 } - 1 a - 3$ 
D)  $a ^ { 2 } - 7 a + 6$

Question 13

Add the polynomials. Assume all variable exponents represent whole numbers.
-$$\left( - 8 x ^ { 7 } - 5 x ^ { 6 } + 2 x ^ { 5 } + 2 \right) + \left( 5 x ^ { 7 } - 8 x ^ { 6 } + 6 x ^ { 5 } + 5 \right)$$

Accepted Answer

A)  $- 3 x ^ { 7 } - 3 x ^ { 6 } + 4 x ^ { 5 } + 3$ 
B)  $13 x ^ { 7 } - 3 x ^ { 6 } + 4 x ^ { 5 } + 3$ 
C)  $13 x ^ { 7 } - 3 x ^ { 6 } + 4 x ^ { 5 } + 7$ 
D)  $- 3 x ^ { 7 } - 13 x ^ { 6 } + 8 x ^ { 5 } + 7$ 
A)  $- 3 x ^ { 7 } - 3 x ^ { 6 } + 4 x ^ { 5 } + 3$ 
B)  $13 x ^ { 7 } - 3 x ^ { 6 } + 4 x ^ { 5 } + 3$ 
C)  $13 x ^ { 7 } - 3 x ^ { 6 } + 4 x ^ { 5 } + 7$ 
D)  $- 3 x ^ { 7 } - 13 x ^ { 6 } + 8 x ^ { 5 } + 7$

Question 14

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers.
-$$( 9 x - y ) ( 7 x - 12 y )$$

Accepted Answer

A)  $16 x ^ { 2 } - 115 x y + 12 y ^ { 2 }$ 
B)  $63 x ^ { 2 } - 115 x y - 12 y ^ { 2 }$ 
C)  $63 x ^ { 2 } + 115 x y + 12 y ^ { 2 }$ 
D)  $63 x ^ { 2 } - 115 x y + 12 y ^ { 2 }$ 
A)  $16 x ^ { 2 } - 115 x y + 12 y ^ { 2 }$ 
B)  $63 x ^ { 2 } - 115 x y - 12 y ^ { 2 }$ 
C)  $63 x ^ { 2 } + 115 x y + 12 y ^ { 2 }$ 
D)  $63 x ^ { 2 } - 115 x y + 12 y ^ { 2 }$

Question 15

Find the indicated function value.
-Find $f ( - 1 )$ when $f ( x ) = 5 x ^ { 2 } - 3 x + 6$

Accepted Answer

A)  10 
B)  14 
C)  8 
D)  2 
A)  10 
B)  14 
C)  8 
D)  2

Question 16

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
-$$14 x ^ { 2 } y ^ { 3 } - 16 x y ^ { 2 }$$

Accepted Answer

A)  $x y ^ { 2 } ( 14 x y - 16 )$ 
B)  $2 x y \left( 7 x y ^ { 2 } - 8 y \right)$ 
C)  $2 x y ^ { 2 } ( 7 x y + 8 )$ 
D)  $2 x y ^ { 2 } ( 7 x y - 8 )$ 
A)  $x y ^ { 2 } ( 14 x y - 16 )$ 
B)  $2 x y \left( 7 x y ^ { 2 } - 8 y \right)$ 
C)  $2 x y ^ { 2 } ( 7 x y + 8 )$ 
D)  $2 x y ^ { 2 } ( 7 x y - 8 )$

Question 17

Subtract the polynomials. Assume all variable exponents represent whole numbers.
-Subtract $5 a ^ { 2 } b ^ { 4 } + 8 a b ^ { 2 } - a b$ from $- 9 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } + 7 a b$

Accepted Answer

A)  $- 14 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } + 6 a b$ 
B)  $- 4 a ^ { 2 } b ^ { 4 } + 12 a b ^ { 2 } + 6 a b$ 
C)  $14 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } - 8 a b$ 
D)  $- 14 a ^ { 2 } b ^ { 4 } - 4 a b ^ { 2 } + 8 a b$ 
A)  $- 14 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } + 6 a b$ 
B)  $- 4 a ^ { 2 } b ^ { 4 } + 12 a b ^ { 2 } + 6 a b$ 
C)  $14 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } - 8 a b$ 
D)  $- 14 a ^ { 2 } b ^ { 4 } - 4 a b ^ { 2 } + 8 a b$

Question 18

Find the product. Assume all variable exponents represent whole numbers.
-$$\left( 2 x ^ { 2 } + 5 x - 4 \right) \left( x ^ { 2 } + 4 x - 4 \right)$$

Accepted Answer

A)  $2 x ^ { 4 } + 8 x ^ { 3 } + 12 x ^ { 2 } - 36 x + 16$ 
B)  $2 x ^ { 4 } + 13 x ^ { 3 } + 12 x ^ { 2 } - 36 x + 16$ 
C)  $2 x ^ { 4 } + 13 x ^ { 3 } + 8 x ^ { 2 } - 36 x + 16$ 
D)  $2 x ^ { 4 } + 8 x ^ { 3 } + 8 x ^ { 2 } - 36 x + 16$ 
A)  $2 x ^ { 4 } + 8 x ^ { 3 } + 12 x ^ { 2 } - 36 x + 16$ 
B)  $2 x ^ { 4 } + 13 x ^ { 3 } + 12 x ^ { 2 } - 36 x + 16$ 
C)  $2 x ^ { 4 } + 13 x ^ { 3 } + 8 x ^ { 2 } - 36 x + 16$ 
D)  $2 x ^ { 4 } + 8 x ^ { 3 } + 8 x ^ { 2 } - 36 x + 16$

Question 19

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
-$$( x + 12 ) ( x - 12 )$$

Accepted Answer

A)  $x ^ { 2 } - 144$ 
B)  $x ^ { 2 } + 24 x - 144$ 
C)  $x ^ { 2 } - 24 x - 144$ 
D)  $x ^ { 2 } - 24$ 
A)  $x ^ { 2 } - 144$ 
B)  $x ^ { 2 } + 24 x - 144$ 
C)  $x ^ { 2 } - 24 x - 144$ 
D)  $x ^ { 2 } - 24$

Question 20

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers.
-$$( 5 x - 2 ) ( 3 x - 4 )$$

Accepted Answer

A)  $15 x ^ { 2 } - 26 x + 8$ 
B)  $15 x ^ { 2 } - 26 x - 26$ 
C)  $8 x ^ { 2 } - 26 x + 8$ 
D)  $8 x ^ { 2 } - 26 x - 26$ 
A)  $15 x ^ { 2 } - 26 x + 8$ 
B)  $15 x ^ { 2 } - 26 x - 26$ 
C)  $8 x ^ { 2 } - 26 x + 8$ 
D)  $8 x ^ { 2 } - 26 x - 26$

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers. - $( x - 4 ) ^ { 2 }$

Add the polynomials. Assume all variable exponents represent whole numbers. - $\left( \frac { 1 } { 8 } x ^ { 4 } + \frac { 2 } { 5 } x ^ { 3 } - \frac { 1 } { 6 } x + 7 \right) + \left( - \frac { 5 } { 8 } x ^ { 4 } - \frac { 1 } { 5 } x ^ { 3 } + \frac { 1 } { 3 } x - 9 \right)$

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. - $3 x ^ { 2 } - 6 x$

Subtract the polynomials. Assume all variable exponents represent whole numbers. - $\left( x ^ { 3 } + 7 x y - 4 y ^ { 2 } \right) - \left( 8 x ^ { 3 } + 4 x y + y ^ { 2 } \right)$

Multiply the monomial and the polynomial. Assume any variable exponents represent whole numbers. - $- 5 x ^ { 5 } ( 11 x + 2 )$

Use the graph to estimate the average number of minutes a woman exercised per week if her average monthly weight loss was 4.4 pounds. A) 115 min B) 120 min C) 135 min D) 127 min Answer: B Determine whether the graph shown is the graph of a polynomial function. -

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers. - $\left( 6 x ^ { 2 } + 11 y \right) ^ { 2 }$

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - $f ( x ) = - 6 x ^ { 3 } + 3 x ^ { 2 } + 3 x + 2$

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - $\left( 4 x ^ { n } + 11 y ^ { n } \right) \left( x ^ { n } + 9 y ^ { n } \right)$

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. - $\left( 8 - y ^ { 5 } \right) \left( 8 + y ^ { 5 } \right)$

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - $f ( x ) = 4 x ^ { 4 } - 3 x ^ { 2 }$

Evaluate the polynomial function. -If $f ( x ) = x ^ { 2 } - 7 x + 9$ , find $f ( a + 3 )$ .

Add the polynomials. Assume all variable exponents represent whole numbers. - $\left( - 8 x ^ { 7 } - 5 x ^ { 6 } + 2 x ^ { 5 } + 2 \right) + \left( 5 x ^ { 7 } - 8 x ^ { 6 } + 6 x ^ { 5 } + 5 \right)$

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - $( 9 x - y ) ( 7 x - 12 y )$

Find the indicated function value. -Find $f ( - 1 )$ when $f ( x ) = 5 x ^ { 2 } - 3 x + 6$

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. - $14 x ^ { 2 } y ^ { 3 } - 16 x y ^ { 2 }$

Subtract the polynomials. Assume all variable exponents represent whole numbers. -Subtract $5 a ^ { 2 } b ^ { 4 } + 8 a b ^ { 2 } - a b$ from $- 9 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } + 7 a b$

Find the product. Assume all variable exponents represent whole numbers. - $\left( 2 x ^ { 2 } + 5 x - 4 \right) \left( x ^ { 2 } + 4 x - 4 \right)$

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. - $( x + 12 ) ( x - 12 )$

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - $( 5 x - 2 ) ( 3 x - 4 )$

Algebra, Mathematical Models, and Problem Solving

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Exam 5: Polynomials, Polynomial Functions, and Factoring

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers. - (x−4)2( x - 4 ) ^ { 2 }(x−4)2

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. - 3x2−6x3 x ^ { 2 } - 6 x3x2−6x

Subtract the polynomials. Assume all variable exponents represent whole numbers. - (x3+7xy−4y2)−(8x3+4xy+y2)\left( x ^ { 3 } + 7 x y - 4 y ^ { 2 } \right) - \left( 8 x ^ { 3 } + 4 x y + y ^ { 2 } \right)(x3+7xy−4y2)−(8x3+4xy+y2)

Multiply the monomial and the polynomial. Assume any variable exponents represent whole numbers. - −5x5(11x+2)- 5 x ^ { 5 } ( 11 x + 2 )−5x5(11x+2)

Use the graph to estimate the average number of minutes a woman exercised per week if her average monthly weight loss was 4.4 pounds. A) 115 min B) 120 min C) 135 min D) 127 min Answer: B Determine whether the graph shown is the graph of a polynomial function. -

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers. - (6x2+11y)2\left( 6 x ^ { 2 } + 11 y \right) ^ { 2 }(6x2+11y)2

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - f(x)=−6x3+3x2+3x+2f ( x ) = - 6 x ^ { 3 } + 3 x ^ { 2 } + 3 x + 2f(x)=−6x3+3x2+3x+2

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - (4xn+11yn)(xn+9yn)\left( 4 x ^ { n } + 11 y ^ { n } \right) \left( x ^ { n } + 9 y ^ { n } \right)(4xn+11yn)(xn+9yn)

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. - (8−y5)(8+y5)\left( 8 - y ^ { 5 } \right) \left( 8 + y ^ { 5 } \right)(8−y5)(8+y5)

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph. - f(x)=4x4−3x2f ( x ) = 4 x ^ { 4 } - 3 x ^ { 2 }f(x)=4x4−3x2

Evaluate the polynomial function. -If f(x)=x2−7x+9f ( x ) = x ^ { 2 } - 7 x + 9f(x)=x2−7x+9 , find f(a+3)f ( a + 3 )f(a+3) .

Add the polynomials. Assume all variable exponents represent whole numbers. - (−8x7−5x6+2x5+2)+(5x7−8x6+6x5+5)\left( - 8 x ^ { 7 } - 5 x ^ { 6 } + 2 x ^ { 5 } + 2 \right) + \left( 5 x ^ { 7 } - 8 x ^ { 6 } + 6 x ^ { 5 } + 5 \right)(−8x7−5x6+2x5+2)+(5x7−8x6+6x5+5)

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - (9x−y)(7x−12y)( 9 x - y ) ( 7 x - 12 y )(9x−y)(7x−12y)

Find the indicated function value. -Find f(−1)f ( - 1 )f(−1) when f(x)=5x2−3x+6f ( x ) = 5 x ^ { 2 } - 3 x + 6f(x)=5x2−3x+6

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. - 14x2y3−16xy214 x ^ { 2 } y ^ { 3 } - 16 x y ^ { 2 }14x2y3−16xy2

Subtract the polynomials. Assume all variable exponents represent whole numbers. -Subtract 5a2b4+8ab2−ab5 a ^ { 2 } b ^ { 4 } + 8 a b ^ { 2 } - a b5a2b4+8ab2−ab from −9a2b4+4ab2+7ab- 9 a ^ { 2 } b ^ { 4 } + 4 a b ^ { 2 } + 7 a b−9a2b4+4ab2+7ab

Find the product. Assume all variable exponents represent whole numbers. - (2x2+5x−4)(x2+4x−4)\left( 2 x ^ { 2 } + 5 x - 4 \right) \left( x ^ { 2 } + 4 x - 4 \right)(2x2+5x−4)(x2+4x−4)

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. - (x+12)(x−12)( x + 12 ) ( x - 12 )(x+12)(x−12)

Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. - (5x−2)(3x−4)( 5 x - 2 ) ( 3 x - 4 )(5x−2)(3x−4)