Exam 5: Polynomials, Polynomial Functions, and Equations

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Subtract. Subtract.

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In major league baseball, the distance between bases is 30 feet greater than it is in softball. The bases in major league baseball mark the corners of a square that has an area 4,500 square feet greater than for softball. Find the distance between the bases in baseball.

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Factor the trinomial. Factor out Factor the trinomial. Factor out   1 first.  1 first. Factor the trinomial. Factor out   1 first.

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Find the product. Find the product.

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Subtract. Subtract.

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Factor the expression. Factor the expression.

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What is the classification of the polynomial What is the classification of the polynomial   . .

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Factor the trinomial, if possible. Factor the trinomial, if possible.

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An object has been thrown straight up into the air. The formula An object has been thrown straight up into the air. The formula   gives the height h of the object above the ground after t seconds, when it is thrown upward with an initial velocity v . After how many seconds will an object hit the ground if it is thrown with a velocity of 240 feet per second? gives the height h of the object above the ground after t seconds, when it is thrown upward with an initial velocity v . After how many seconds will an object hit the ground if it is thrown with a velocity of 240 feet per second?

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Find the degree of the polynomial Find the degree of the polynomial   . .

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If If   , find the value of   . , find the value of If   , find the value of   . .

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Use the difference of squares pattern to factor the polynomial. Use the difference of squares pattern to factor the polynomial.

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The distance (in feet) that an object will fall in The distance (in feet) that an object will fall in   seconds is given by the formula   . How long will it take an object to fall 400 feet? seconds is given by the formula The distance (in feet) that an object will fall in   seconds is given by the formula   . How long will it take an object to fall 400 feet? . How long will it take an object to fall 400 feet?

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Solve the formula Solve the formula   for the variable   . for the variable Solve the formula   for the variable   . .

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Simplify the expression. Assume that the variable represents a positive number. Simplify the expression. Assume that the variable represents a positive number.

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Simplify the expression. Simplify the expression.

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The height in feet The height in feet   of a rocket in flight is given by the formula   , where   is the time of the flight in seconds. How long will it take for the rocket to hit the ground? of a rocket in flight is given by the formula The height in feet   of a rocket in flight is given by the formula   , where   is the time of the flight in seconds. How long will it take for the rocket to hit the ground? , where The height in feet   of a rocket in flight is given by the formula   , where   is the time of the flight in seconds. How long will it take for the rocket to hit the ground? is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

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Find the GCF of Find the GCF of   ,   and   . , Find the GCF of   ,   and   . and Find the GCF of   ,   and   . .

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Use the factoring method to solve the equation. Use the factoring method to solve the equation.

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Factor a polynomial with four terms by grouping a trinomial. Factor a polynomial with four terms by grouping a trinomial.

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