Exam 6: Factoring

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Factor the expression as the sum or difference of two cubes. Factor the expression as the sum or difference of two cubes.

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Factor. Factor.

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Factor. Factor.

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If a rocket is fired vertically into the air with a speed of If a rocket is fired vertically into the air with a speed of   feet per second, its height at time t seconds is given by   . Here is a graph of its height at various times, with the details left out.   How long will the rocket be in the air? ( Hint : How high is it when it hits the ground?) feet per second, its height at time t seconds is given by If a rocket is fired vertically into the air with a speed of   feet per second, its height at time t seconds is given by   . Here is a graph of its height at various times, with the details left out.   How long will the rocket be in the air? ( Hint : How high is it when it hits the ground?) . Here is a graph of its height at various times, with the details left out. If a rocket is fired vertically into the air with a speed of   feet per second, its height at time t seconds is given by   . Here is a graph of its height at various times, with the details left out.   How long will the rocket be in the air? ( Hint : How high is it when it hits the ground?) How long will the rocket be in the air? ( Hint : How high is it when it hits the ground?)

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Solve the equation. Solve the equation.

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The height of a triangle is twice the base. The area is 16 square inches. Find the base. __________ inches

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Find the value for a so that the polynomial Find the value for a so that the polynomial   factors to   .   __________ factors to Find the value for a so that the polynomial   factors to   .   __________ . Find the value for a so that the polynomial   factors to   .   __________ __________

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Factor by grouping. Factor by grouping.

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Factor the trinomial. Factor the trinomial.

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Factor the problem completely. First, factor out the greatest common factor, and then factor the remaining trinomial. Factor the problem completely. First, factor out the greatest common factor, and then factor the remaining trinomial.

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Factor the polynomial by grouping the terms together two at a time. Factor the polynomial by grouping the terms together two at a time.

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Factor the trinomial. Factor the trinomial.

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Solve the equation. Solve the equation.     __________ Solve the equation.     __________ __________

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Solve the equation. Solve the equation.

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Find a value for b so that the polynomial Find a value for b so that the polynomial   factors to   .   __________ factors to Find a value for b so that the polynomial   factors to   .   __________ . Find a value for b so that the polynomial   factors to   .   __________ __________

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Factor the expression by taking out the greatest common factor. Factor the expression by taking out the greatest common factor.

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Factor the expression by taking out the greatest common factor. Factor the expression by taking out the greatest common factor.

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Factor the expression by taking out the greatest common factor. Factor the expression by taking out the greatest common factor.

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A company that manufactures typewriter ribbons knows that the number of ribbons it can sell each week, x , is related to the price p per ribbon by the equation A company that manufactures typewriter ribbons knows that the number of ribbons it can sell each week, x , is related to the price p per ribbon by the equation   . At what price should the company sell the ribbons if it wants the weekly revenue to be   ? ( Hint : The equation for revenue is   .) . At what price should the company sell the ribbons if it wants the weekly revenue to be A company that manufactures typewriter ribbons knows that the number of ribbons it can sell each week, x , is related to the price p per ribbon by the equation   . At what price should the company sell the ribbons if it wants the weekly revenue to be   ? ( Hint : The equation for revenue is   .) ? ( Hint : The equation for revenue is A company that manufactures typewriter ribbons knows that the number of ribbons it can sell each week, x , is related to the price p per ribbon by the equation   . At what price should the company sell the ribbons if it wants the weekly revenue to be   ? ( Hint : The equation for revenue is   .) .)

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Factor the expression completely. Look first for the greatest common factor. Factor the expression completely. Look first for the greatest common factor.

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