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 the trinomial. Factor the trinomial.

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Factor. Factor.

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Factor. Factor.

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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   . .

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Factor by grouping the first three terms together. Factor by grouping the first three terms together.

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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 $4,000? ( Hint : The equation for revenue is   .) . At what price should the company sell the ribbons if it wants the weekly revenue to be $4,000? ( 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 $4,000? ( Hint : The equation for revenue is   .) .)

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Factor by grouping. Factor by grouping.

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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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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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Solve the equation. Solve the equation.

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

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

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Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable. If the polynomial is prime , so indicate. Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable. If the polynomial is prime , so indicate.

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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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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   . .

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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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The total cost C of manufacturing x hundred videotapes is given by the equation. The total cost C of manufacturing x hundred videotapes is given by the equation.   Find x if the total cost is $2,500.   __________ hundred videotapes Find x if the total cost is $2,500. The total cost C of manufacturing x hundred videotapes is given by the equation.   Find x if the total cost is $2,500.   __________ hundred videotapes __________ hundred videotapes

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