Division of Polynomials

Question 1

What is the quotient of ?

Revolt · Accepted Answer

x – 2

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

What is the remainder of the following division problem?

Revolt · Accepted Answer

1

Question 4

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

Revolt · Accepted Answer

x + 2

Question 5

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

Revolt · Accepted Answer

x2 – 2x + 3

Question 6

What is the quotient of the following division problem?

Revolt · Accepted Answer

x + 2

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

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

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 ?

Revolt · Accepted Answer

x - 2

Division of Polynomials Answers

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