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

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Factor. Factor.

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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.

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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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The height of a triangle is twice the base. The area is 25 square inches. Find the base. __________ inches

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Factor. Factor.

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A 20-foot ladder is placed so that it reaches to a point on the wall that is 4 higher than the distance from the base of the wall to the base of the ladder. How high does the ladder reach? A 20-foot ladder is placed so that it reaches to a point on the wall that is 4 higher than the distance from the base of the wall to the base of the ladder. How high does the ladder reach?

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The length of a rectangle is 4 more than the width. The area is 21 square inches. Find the dimensions.

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Factor the trinomial. Factor the trinomial.

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Solve the equation. Solve the equation.

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

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Solve the equation. Solve the equation.

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

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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 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. Factor.

(Short Answer)
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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.

(Short Answer)
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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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