Division of Polynomials

Question 1

What is the quotient of the following division problem?

Revolt · Accepted Answer

x + 2

Question 2

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 3

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

Revolt · Accepted Answer

x2 + 2x + 3

Question 4

What is the remainder of the following division problem?

Revolt · Accepted Answer

1

Question 5

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

Revolt · Accepted Answer

x + 5

Question 6

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

Revolt · Accepted Answer

x + 2

Question 7

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 8

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 9

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

Revolt · Accepted Answer

x2

Question 10

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

Revolt · Accepted Answer

x2 – 2x + 4

Division of Polynomials Answers

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