Answers AISD Algebra II B Credit Recovery 2026-2027Division of Polynomials

Division of Polynomials Answers

4 verified answers

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?

x + 1

x – 9

x + 4

x – 1

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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?

Amal’s work is correct.

Amal’s work is incorrect the wrong divisor is on the right side of the division table.

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

Amal’s work is incorrect because the like terms in the division table do not simplify to the original polynomial.

What is the quotient of the following division problem?

x + 2

x + 1

x2 + 3x + 2

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

x2 – 2x – 3

x2 + 2x + 7

x2 – 3x + 8

x2 – 2x + 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?

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