Synthetic Division, Long Division, Remainder Theorem

(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

If dividing polynomial g(x) by (x +2) yields a remainder of 0, which must be true?

• g(-2) = 0

• g(2) = 0

• g(0) = 2

• g(0) = -2

The expression x³ ─ kx² +2x +5 leaves a remainder of 2 when divided by x ─ 3. Find the value of k.

• 4

• -4

• 8

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1

• x + 2

• x + 5

• x + 10

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-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes

• No

What is the remainder when a³ - 4 is divided by a+2? 

• -2

• -6

• -12

• 0

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 

• (x-1) (x+5) (x + 3) 

• (x+1) (x+5) (x-3) 

• (x+1) (x-5) (x-3) 

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

(5p²+5p-26)÷(p+3)

• 5p-10+4/p+3

• 5p-12+1/p+3

• 5p-13+8/p+3

• 5p-10+5/p+3