Dividing Polynomials

Divide using synthetic division
(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

Find the Quotient
(2x³ - 5x² - 3x + 7) / (x - 2)

• 2x²- 9x +15

• 2x² - x - 5

• 2x² - 9x - 21

• 2x² + x + 5

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

• -9

• 11

• -13

• -1

Identify the missing term to complete the solution.

• -7

• 7

• -57

• 57

Identify the missing term to complete the solution.

• 4

• -4

• 5

• -5

Is this division problem worked correctly?

• This is correct!

• This is incorrect, and error occurs on the 2nd line!

• This is incorrect, and the error occurs on the 4th line!

• This is incorrect, and the error occurs on the 3rd line!

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 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. 

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

Which term is missing in this problem? (2x³ + 5x² + 9 )÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x