Division of Polynomials

Question 1

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

Revolt · Accepted Answer

x2 – 2x + 4

Question 2

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

Revolt · Accepted Answer

Divide 8x3 by 2x.

Question 3

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 4

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 5

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

Division of Polynomials Answers

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