Dividing Polynomials

Which term is missing from the dividend in this problem?

(2x³ + 5x² + 9 ) ÷ (x + 3)

• x⁴

• x³

• x²

• x

If you were dividing x⁶ + 4x³ + 2, how many 0 placeholders would you need?

• 0

• 2

• 4

• 6

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Divide

(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4 R(-12)

• 2x² - 2x + 6 R(-23)

• 2x² - 2x + 8 R(-20)

• 2x² - 4x + 1 R0

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9

• 3x² - 3x + 8 - 9/x+1

• 3x² + 3x + 8 + 7/x+1

• 3x³ + 3x² + 8x + 7

Find the remainder
(2x³ - 5x - 7) / (x + 2)

• -9
• 11
• -13
• -1

Tags

CCSS.HSA.APR.B.2

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

• x + 8

• x + 14

• x + 10

• x +4

Tags

CCSS.HSA.APR.D.6

Decide if (x - 3) is a factor of 3x³ + 10x² - x - 12.

• Yes, it is a factor

• No, it is not a factor

Tags

CCSS.HSA.APR.B.2