Division of Polynomials

Question 1

Amal used the tabular method to show her work dividing –2x3 + 11x2 – 23x + 20 by x2 – 3x + 4. Amal’s Work: Quotient 2x+ 5 Divisorx2–2x35x26x2 + 5x2 = 11x2– 3x6x2–15x–8x + (–15x) = –23x + 4–8x20 Amal’s answer:Which statement about Amal’s work is true?

Revolt · Accepted Answer

Amal’s work is incorrect because it includes a positive two instead of negative two in the answer.

Question 2

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 3

The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Revolt · Accepted Answer

x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction

Question 4

What is the remainder of the following division problem?

Revolt · Accepted Answer

1

Question 5

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 6

What is the quotient of ?

Revolt · Accepted Answer

x – 2

Question 7

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 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

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 – 3x2 + 5x – 3) ÷ (x – 1)?

Revolt · Accepted Answer

x2 – 2x + 3

Division of Polynomials Answers

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