Factor and Remainder

When p(x) = 9x⁴- 45x³ + 37x² + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?

• p(2) = 656
• p(2) = 652
• p(2) = -64
• p(2) = -368

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

• YES
• NO

(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

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-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!

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

The remainder when (3x³ -5x² -4x +1) is divided by (x + 3) is _____________.

• -25

• 25

• 113

• -113

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

• -2
• -6
• -12
• 0

Which of the following is a factor of

f(x)= x³ -6x² +3x +10?

• x + 1

• x + 2

• x + 5

• x + 10