Remainder and Factor Theorems

(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

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0

• 2x-10

• -2x-10

• 2x+10

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes

• No

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

• Yes, it is a factor!

• No, it is not a factor!

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

• x + 1

• x + 2

• x + 5

• x + 10

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

• -2

• -6

• -12

• 0

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0

• 10

• 15

• -7

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)