Exam 5: The Greatest Common Factor and Factoring by Grouping

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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 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 trinomial. Factor the trinomial.

(Multiple Choice)
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What polynomial factors to What polynomial factors to   ? ?

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Solve the equation. Solve the equation.

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

(Multiple Choice)
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The equation is already in factored form. Use the special zero factor property to set the factors to 0 and solve. The equation is already in factored form. Use the special zero factor property to set the factors to 0 and solve.

(Multiple Choice)
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Solve the equation. Solve the equation.

(Short Answer)
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What polynomial, when factored, gives What polynomial, when factored, gives   ? ?

(Multiple Choice)
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The equation is already in factored form. Use the special zero factor property to set the factors to 0 and solve. The equation is already in factored form. Use the special zero factor property to set the factors to 0 and solve.

(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. 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.

(Short Answer)
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I have a piece of cardboard that is twice as long as it is wide. If I cut a 3-inch by 3-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 240 cubic inches. What are the dimensions of the cardboard? I have a piece of cardboard that is twice as long as it is wide. If I cut a 3-inch by 3-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 240 cubic inches. What are the dimensions of the cardboard?

(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.

(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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Use factoring by grouping to solve the equation. Use factoring by grouping to solve the equation.

(Short Answer)
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