Question 1

Find all zeros of the polynomial $P ( x ) = x ^ { 5 } - 3 x ^ { 4 } + 28 x ^ { 3 } - 76 x ^ { 2 } + 75 x - 25$ .

Accepted Answer

@#LAT-DLM& . The zer

Question 2

Find two positive numbers whose sum is $62$ and the sum of whose squares is a minimum.

Accepted Answer

Let the two positive numbers b

Question 3

Find a polynomial of degree 3 that has zeros 1, 2, and -5 and in which the coefficient of $x ^ { 2 }$ is 3.

Accepted Answer

The answer of Find a polynomial of degree 3 that...

Question 4

Use a graphing device to graph the polynomial $y = 2 x ^ { 5 } + 3 x ^ { 2 } - 2 x + 1$ and describe its end behavior.

Accepted Answer

The answer of Use a graphing device to graph the...

Question 5

Find all asymptotes (including vertical, horizontal, and slant) of the function $y = \frac { 2 x ^ { 3 } - 3 x ^ { 2 } + 8 x } { x ^ { 2 } - x + 5 }$ .

Accepted Answer

The vertical asymptotes occur

Find all zeros of the polynomial $P ( x ) = x ^ { 5 } - 3 x ^ { 4 } + 28 x ^ { 3 } - 76 x ^ { 2 } + 75 x - 25$ .

Find two positive numbers whose sum is $62$ and the sum of whose squares is a minimum.

Find a polynomial of degree 3 that has zeros 1, 2, and -5 and in which the coefficient of $x ^ { 2 }$ is 3.

Use a graphing device to graph the polynomial $y = 2 x ^ { 5 } + 3 x ^ { 2 } - 2 x + 1$ and describe its end behavior.

Find all asymptotes (including vertical, horizontal, and slant) of the function $y = \frac { 2 x ^ { 3 } - 3 x ^ { 2 } + 8 x } { x ^ { 2 } - x + 5 }$ .

Fundamentals

Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Unit Circle Approach

Trigonometric Functions: Right Triangle Approach

Analytic Trigonometry

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Conic Sections

Sequences and Series

Limits: a Preview of Calculus

Filters

Exam 3: Polynomial and Rational Functions

Find all zeros of the polynomial P(x)=x5−3x4+28x3−76x2+75x−25P ( x ) = x ^ { 5 } - 3 x ^ { 4 } + 28 x ^ { 3 } - 76 x ^ { 2 } + 75 x - 25P(x)=x5−3x4+28x3−76x2+75x−25 .

Find two positive numbers whose sum is 626262 and the sum of whose squares is a minimum.

Find a polynomial of degree 3 that has zeros 1, 2, and -5 and in which the coefficient of x2x ^ { 2 }x2 is 3.

Use a graphing device to graph the polynomial y=2x5+3x2−2x+1y = 2 x ^ { 5 } + 3 x ^ { 2 } - 2 x + 1y=2x5+3x2−2x+1 and describe its end behavior.

Find all asymptotes (including vertical, horizontal, and slant) of the function y=2x3−3x2+8xx2−x+5y = \frac { 2 x ^ { 3 } - 3 x ^ { 2 } + 8 x } { x ^ { 2 } - x + 5 }y=x2−x+52x3−3x2+8x​ .

Fundamentals

Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Unit Circle Approach

Trigonometric Functions: Right Triangle Approach

Analytic Trigonometry

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Conic Sections

Sequences and Series

Limits: a Preview of Calculus

Filters

Find all zeros of the polynomial $P ( x ) = x ^ { 5 } - 3 x ^ { 4 } + 28 x ^ { 3 } - 76 x ^ { 2 } + 75 x - 25$ .

Find two positive numbers whose sum is $62$ and the sum of whose squares is a minimum.

Find a polynomial of degree 3 that has zeros 1, 2, and -5 and in which the coefficient of $x ^ { 2 }$ is 3.

Use a graphing device to graph the polynomial $y = 2 x ^ { 5 } + 3 x ^ { 2 } - 2 x + 1$ and describe its end behavior.

Find all asymptotes (including vertical, horizontal, and slant) of the function $y = \frac { 2 x ^ { 3 } - 3 x ^ { 2 } + 8 x } { x ^ { 2 } - x + 5 }$ .