Exam 5: The Greatest Common Factor and Factoring by Grouping

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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 by grouping. Factor by grouping.

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The greatest common factor of the binomial The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product,   , when it has been multiplied out?   __________ is The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product,   , when it has been multiplied out?   __________ . The greatest common factor of the binomial The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product,   , when it has been multiplied out?   __________ is The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product,   , when it has been multiplied out?   __________ . What is the greatest common factor of their product, The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product,   , when it has been multiplied out?   __________ , when it has been multiplied out? The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product,   , when it has been multiplied out?   __________ __________

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

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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 by grouping. Factor by grouping.

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Factor. 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.

(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.

(Multiple Choice)
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The greatest common factor of the binomial The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product   when it has been multiplied out? is The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product   when it has been multiplied out? . The greatest common factor of the binomial The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product   when it has been multiplied out? is The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product   when it has been multiplied out? . What is the greatest common factor of their product The greatest common factor of the binomial   is   . The greatest common factor of the binomial   is   . What is the greatest common factor of their product   when it has been multiplied out? when it has been multiplied out?

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

(Short Answer)
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Factor by first factoring out the greatest common factor. Factor by first factoring out the greatest common factor.

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Solve the following equation. Solve the following equation.

(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.

(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.

(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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