Answers AZ-Common Core Algebra II ADivision of Polynomials

Division of Polynomials Answers

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The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first?

x + 3

x2 + x + 2

x3 + 2x2

x2 + 3x

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The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and (x2 – 5) is a polynomial. What is the quotient?

x5 – 3x3 – 2x2 – 10x + 10

x7 – 8x5 – 3x4 + 5x3 + 30x2 + 50x – 75

x3 + 2x – 3

x5 – 3x3 – 4x2 – 10x + 20

What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?

x2 – 2x – 3

x2 + 2x + 7

x2 – 3x + 8

x2 – 2x + 3

What is the quotient of (x3 + 8) ÷ (x + 2)?

x2 + 2x + 4

x2 – 2x + 4

x2 + 4

x2 – 4

The quotient of (x4 + 5x3 – 3x – 15) and (x3 – 3) is a polynomial. What is the quotient?

x7 + 5x6 – 6x4 – 30x3 + 9x + 45

x – 5

x + 5

x7 + 5x6 + 6x4 + 30x3 + 9x + 45

What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)?

x + 2

x – 2

x + 10

x + 6

What is the quotient of ?

x + 2

x - 2

x + 6

x - 6

Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.Which statement about their answers is true?

Tamara’s work is correct because Clyde did not multiply the terms in the division table correctly.

Clyde’s work is correct because Tamara did not subtract the terms correctly.

Both students are correct.

Both students are incorrect.

What is the quotient of ?

x + 2

x – 2

x – 8

x + 8

Shelia is dividing x4 – 4x3 + 4x2 – 6x + 5 by x – 1 using a division table. QuotientDivisor x3– 3x2+ x– 5xx4–3x3x2A– 1–x33x2BCWhat are the missing values in the table?

A = –5x; B = 1x; C = 5

A = –5x; B = –1x; C = 5

A = 5x; B = –1x; C = 5

A = 5x; B = 1x; C = 5

What is the remainder of the following division problem?

–1

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Division of Polynomials Answers

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