Dividing Polynomials with Remainders

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

• Yes, it is a factor

• No, it is not a factor

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

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

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

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

• -9

• 11

• -13

• -1

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. 

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

• 2x²- 9x +15

• 2x² - x - 5

• 2x² - 9x - 21

• 2x² + x + 5

• xy+2xy-3xy
• 3x+2-3xy
• x+2-3xy
• x+2+3xy

• 3xy²+5y-2
• 3xy²+5y+2
• 3xy+5y-2
• 3xy+5y+2