Polynomial vs Long 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. 

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

• 4x - 2

• 4x + 2

• 4x - 2 + (1/3x - 1)

• 4x + 2 + (1/3x - 1)

• 2x - 4

• 2x + 4

• 2x - 1 + -16/4x-5

• 2x - 4 + -40/4x-5

• This is correct
• This is incorrect

What should you add to this problem? (2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Divide
(4b² + b - 2) ÷ (4b + 5)

• b + 1 - 3/4b +5

• b - 1 + 3/4b - 5

• b + 1 + 3/4b + 5

• b - 1 + 3/4b + 5

(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

(4x² - 24x + 35) ÷ (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

(27x³ + 9x² - 3x - 10) ÷ (3x - 2)

• 9x⁴+5

• 9x²+9x+5

• 9x²-9x+5

• 9x²-9x