Exam 5: The Greatest Common Factor and Factoring by Grouping

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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 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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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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Solve the equation. Solve the equation.

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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 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 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. 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 $1,500.   __________ hundred videotapes Find x if the total cost is $1,500. The total cost C of manufacturing x hundred videotapes is given by the equation.   Find x if the total cost is $1,500.   __________ hundred videotapes __________ hundred videotapes

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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 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 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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A gun fires a bullet almost straight up from the edge of a 425-foot cliff. If the bullet leaves the gun with a speed of 383 feet per second, its height at time t is given by A gun fires a bullet almost straight up from the edge of a 425-foot cliff. If the bullet leaves the gun with a speed of 383 feet per second, its height at time t is given by   , measured from the ground below the cliff. When will the bullet land on the ground below the cliff? ( Hint : What is its height when it lands? Remember that we are measuring from the ground below, not from the cliff.) , measured from the ground below the cliff. When will the bullet land on the ground below the cliff? ( Hint : What is its height when it lands? Remember that we are measuring from the ground below, not from the cliff.)

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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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The product of two consecutive even integers is 24. Find the two integers.

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What polynomial factors to What polynomial factors to   ? ?

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Factor. Factor.

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