Division of Polynomials

Question 1

✔ x²3x1

Revolt · Accepted Answer

✔ x²

Question 2

⇒ 5

Revolt · Accepted Answer

5

Question 3

associativecommutative✔ closure

Revolt · Accepted Answer

✔ closure

Question 4

dividing x2 + 3x + 1 by 3x2 and bringing down 13x.subtracting 3x4 + 9x3 + 3x2 from the dividend and bringing down 13x .multiplying 3x2 by x2 + 3x + 1.

Revolt · Accepted Answer

subtracting 3x4 + 9x3 + 3x2 from the dividend and bringing down 13x .

Question 5

Use the following long division. The term 3x2 in the quotient is the result of dividing 3x4 by

Revolt · Accepted Answer

-2; 5

Question 6

Complete the sentence below.

Revolt · Accepted Answer

Q =: 6x + 1; R =: –7x + 1

Question 7

Complete the sentence below.

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 8

✔ 6x + 15x – 24x + 7

Revolt · Accepted Answer

✔ 6x + 1; Q =: 6x + 1; R =: –7x + 1

Question 9

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 10

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

Division of Polynomials Answers

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