A2B 1.13 Factor and Remainder Theorems

If the polynomial  $x^2-5x+9$  is divided by (x-3), then the remainder is

• 4

• 5

• 2

• 3

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

• x + 1
• x + 2
• x + 5
• x + 10

The value of p for which the polynomial  $2x^3+px^2-5x-6\$  is divisible by 2x -3 is

• p=3

• p=2

• p=4

• p=6

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

• Yes
• No

When (9x⁴- 45x³ + 37x² + x +2) is divided by (x-2), find the remainder.

• 656

• 652

• -64

• -368

 $\left(2x^3-5x^2-4x-25\right)\div\left(x-4\right)$  

•  $2x^2+3x+8+\frac{-57}{x-4}$  
  

•  $2x^2-13x-56$  
  

•  $2x^2+3x+8+\frac{7}{x-4}$  
  

•  $2x^2-3x-16+-\frac{-89}{x-4}$