Lesson 4.5: Division of Polynomials Answers

If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?(x + 2) ´ ______ = x2 – 4

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?

What is the quotient of ?

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first?

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?

What is the quotient of ?

What is the remainder of the following division problem?

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

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

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