Division of Polynomials

Question 1

Question 1

Revolt · Accepted Answer

x²

Question 2

Question 2

Revolt · Accepted Answer

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

Question 3

Complete the division. The quotient is 3x2 + ⇒ -2x + .

Revolt · Accepted Answer

⇒ -2: -2, 5; Part 2: 5

Question 4

Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 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.

Revolt · Accepted Answer

3x + 1; Selection 1: 3x + 1; Selection 2: 3x² + 22x + 7; Selection 3: closure

Question 5

Q = R =

Revolt · Accepted Answer

Selection 1: 6x + 1; Selection 2: –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

Part 1: 10

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

3x - 5

Question 9

Question 10

Revolt · Accepted Answer

If there is no remainder, then the dividend is equal to the quotient times the divisor. The quotient and divisor are both polynomials, and their product, the dividend, is a polynomial. If there is a remainder, then it gets added on to the product of the quotient and the divisor. The sum of the remainder and the product of the quotient and divisor is the dividend, which is a polynomial.

Question 10

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

Revolt · Accepted Answer

–1

Division of Polynomials Answers

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