Answers INMT3 Integrated Math 3 Sem 1 26-27Introduction to Polynomials

Division of Polynomials Answers

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

x2 + 4x + 9

x2 + 2x

x2 + 2x + 3

x2 + 3x + 8

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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

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

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

x2 + 2x + 4

x2 – 2x + 4

x2 + 4

x2 – 4

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 first term of the quotient of the following division problem?(x3 – 1) ÷ (x + 2)

–0.5

What is the quotient of ?

x + 2

x - 2

x + 6

x - 6

What is the first step of the following division problem?(8x3 – x2 + 6x + 7) ÷ (2x – 1)

Divide 8x3 by 2x.

Divide 2x by 8x3.

Divide 6x by 2x.

Divide 2x by 6x.

What is the quotient of ?

x + 2

x – 2

x – 8

x + 8

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

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Division of Polynomials Answers

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