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Exam 5: The Greatest Common Factor and Factoring by Grouping

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Exam 1: Notation and Symbols329 Questionsadd course
Exam 2: Simplifying Expressions285 Questionsadd course
Exam 3: Paired Data and Graphing Ordered Pairs217 Questionsadd course
Exam 4: Multiplication With Exponents300 Questionsadd course
Exam 5: The Greatest Common Factor and Factoring by Grouping295 Questionsadd course
Exam 6: Reducing Rational Expressions to Lowest Terms263 Questionsadd course
Exam 7: Review of Solving Equations262 Questionsadd course
Exam 8: The Slope of a Line190 Questionsadd course
Exam 9: Rational Exponents264 Questionsadd course
Exam 10: Completing the Square187 Questionsadd course
Exam 11: Exponential Functions226 Questionsadd course
Exam 12: The Circle95 Questionsadd course
Exam 13: Sequences190 Questionsadd course
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What polynomial factors to What polynomial factors to ? ?

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Question 1
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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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(Multiple Choice)
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Question 2
Correct Answer:
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E

Solve the equation. Solve the equation. __________ Solve the equation. __________ __________

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A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, , is related to the price per diskette by the equation . At what price should the company sell the diskettes if it wants the daily revenue to be ? ( Hint : The equation for revenue is .) , is related to the price A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, , is related to the price per diskette by the equation . At what price should the company sell the diskettes if it wants the daily revenue to be ? ( Hint : The equation for revenue is .) per diskette by the equation A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, , is related to the price per diskette by the equation . At what price should the company sell the diskettes if it wants the daily revenue to be ? ( Hint : The equation for revenue is .) . At what price should the company sell the diskettes if it wants the daily revenue to be A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, , is related to the price per diskette by the equation . At what price should the company sell the diskettes if it wants the daily revenue to be ? ( Hint : The equation for revenue is .) ? ( Hint : The equation for revenue is A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, , is related to the price per diskette by the equation . At what price should the company sell the diskettes if it wants the daily revenue to be ? ( Hint : The equation for revenue is .) .)

(Multiple Choice)
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Question 4

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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Question 5

Factor by grouping. Factor by grouping.

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Question 6

Factor. Factor.

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Question 7

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 ? ( Hint : The equation for revenue is .) . At what price should the calculators be sold if the weekly revenue is to be 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 ? ( Hint : The equation for revenue is .) ? ( 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 ? ( Hint : The equation for revenue is .) .)

(Multiple Choice)
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Question 8

The total cost The total cost of manufacturing hundred videotapes is given by the equation. Find if the total cost is $1,800. of manufacturing The total cost of manufacturing hundred videotapes is given by the equation. Find if the total cost is $1,800. hundred videotapes is given by the equation. The total cost of manufacturing hundred videotapes is given by the equation. Find if the total cost is $1,800. Find The total cost of manufacturing hundred videotapes is given by the equation. Find if the total cost is $1,800. if the total cost is $1,800.

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Question 9

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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Question 10

Factor by grouping the first three terms together. Factor by grouping the first three terms together.

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Question 11

Solve the equation. Solve the equation.

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Question 12

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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Question 13

Factor the expression by taking out the greatest common factor. Factor the expression by taking out the greatest common factor.

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Question 14

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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Question 15

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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Question 16

Factor the trinomial. Factor the trinomial.

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Question 17

One number is 4 more than twice another. Their product is 4 more than twice their sum. Find the numbers.

(Short Answer)
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Question 18

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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Question 19

Factor the expression by taking out the greatest common factor. Factor the expression by taking out the greatest common factor.

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Question 20
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