Division of Polynomials

Question 1

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

Revolt · Accepted Answer

x + 5

Question 2

The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). If area = length × width, what is the width of the rectangle?

Revolt · Accepted Answer

x – 1

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

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

Revolt · Accepted Answer

x3 + 2x – 3

Question 5

Isla is dividing 3x3 + x2 – 12x – 4 by x + 2 using a division table. QuotientDivisor3x2– 5x– 2x3x3–5x2–2x+ 26x2ABWhat are the missing values in the table?

Revolt · Accepted Answer

A = –10x; B = –4

Question 6

What is the remainder of the following division problem?

Revolt · Accepted Answer

1

Question 7

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

Revolt · Accepted Answer

x + 2

Question 8

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

Revolt · Accepted Answer

Divide 8x3 by 2x.

Question 9

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 10

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.

Division of Polynomials Answers

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