Division of Polynomials

Question 1

If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?(x + 2) ´ ______ = x2 – 4

Revolt · Accepted Answer

x – 2

Question 2

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

Revolt · Accepted Answer

x2 + 2x + 3

Question 3

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

Revolt · Accepted Answer

x3 + 2x2

Question 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?

Revolt · Accepted Answer

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

Question 5

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

Revolt · Accepted Answer

Divide 8x3 by 2x.

Question 6

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

Revolt · Accepted Answer

x2 – 2x + 4

Question 7

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?

Revolt · Accepted Answer

A = –5x; B = –1x; C = 5

Question 8

What is the quotient of ?

Revolt · Accepted Answer

x - 2

Question 9

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

Revolt · Accepted Answer

x + 5

Question 10

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

Revolt · Accepted Answer

x + 2

Division of Polynomials Answers

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