Exam 5: The Greatest Common Factor and Factoring by Grouping

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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.

(Short Answer)
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Factor the trinomial. Factor the trinomial.

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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.

(Multiple Choice)
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Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable. Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable.

(Multiple Choice)
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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 as the sum or difference of two cubes. Factor the expression as the sum or difference of two cubes.

(Multiple Choice)
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The product of two consecutive integers is 72. Find the two integers.

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If one of the factors of If one of the factors of   is   , what is the other factor? is If one of the factors of   is   , what is the other factor? , what is the other factor?

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The length of a rectangle is 1 more than the width. The area is 42 square inches. Find the dimensions. width: __________ inches length: __________ inches

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

(Multiple Choice)
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Factor the trinomial. Factor the trinomial.

(Short Answer)
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Solve the equation. Solve the equation.     __________ Solve the equation.     __________ __________

(Short Answer)
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Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable. Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable.

(Multiple Choice)
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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.

(Short Answer)
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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   . .

(Multiple Choice)
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Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable. Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable.

(Multiple Choice)
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The relationship between the number of calculators a company sells per week, x , and the price p of each calculator is given by the equation The relationship between the number of calculators a company sells per week, x , and the price p of each calculator is given by the equation   . At what price should the calculators be sold if the weekly revenue is to be $10,800? ( Hint : The equation for revenue is   .) . At what price should the calculators be sold if the weekly revenue is to be $10,800? ( Hint : The equation for revenue is The relationship between the number of calculators a company sells per week, x , and the price p of each calculator is given by the equation   . At what price should the calculators be sold if the weekly revenue is to be $10,800? ( Hint : The equation for revenue is   .) .)

(Short Answer)
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Factor. Factor.

(Short Answer)
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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.

(Multiple Choice)
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Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable. Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable.

(Multiple Choice)
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