Binomial Division

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. 

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

Divide the polynomials

• x+7

• x+2

• X-10

• X-7

Divide the polynomials

• x + 5 + (2/2x - 4)

• x - 8

• x - 5 + (3/2x - 4)

• x + 5

• A
• B
• C
• D

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

(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)

Divide using synthetic division
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Use synthetic division

• 2x³ + 3x  (7/x-4)

• 2x² + 3x + 8 + (7/x-4)

• 2x² + 3x + 8

• 2x² - x + 10 + (6/x-4)