Lesson 5: Division of Polynomials

Question 1

Complete the sentence below.

Revolt · Accepted Answer

Q =: 6x + 1; R =: –7x + 1

Question 2

x + 73x + 13x² + 22x + 7

Revolt · Accepted Answer

3x² + 22x + 7

Question 3

associativecommutativeclosure

Revolt · Accepted Answer

closure

Question 4

3x² + 22x + 73x + 1x + 7

Revolt · Accepted Answer

3x + 1; If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)() = .: 3x + 1; If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)() = .: 3x² + 22x + 7; The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.: closure

Question 5

6x + 15x – 24x + 7

Revolt · Accepted Answer

6x + 1; Q =: 6x + 1; R =: –7x + 1

Question 6

The area, A, of a rectangle is 120x2 + 78x – 90, and the length, l, of the rectangle is 12x + 15. Which of the following gives the width, w, of the rectangle?

Revolt · Accepted Answer

10x – 6

Question 7

Divide The quotient is

Revolt · Accepted Answer

Divide The quotient is: 10x; Divide The quotient is: 16; Divide The quotient is: 28x^2; Divide The quotient is: 22

Question 8

The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given by the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)

Revolt · Accepted Answer

5x + 3

Question 9

Find the remainder when (x3 – 2) is divided by (x – 1).What is the remainder?

Revolt · Accepted Answer

–1

Question 10

What is the value of A?

Revolt · Accepted Answer

1

Lesson 5: Division of Polynomials Answers

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