Remainder Theorem and Factor Theorem

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

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

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

• -2
• -6
• -12
• 0

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

• Yes, it is a factor!
• No, it is not a factor!

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

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

• Yes
• No

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

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

• 656

• 652

• -64

• -368

Given P(x) = 2x⁴ + x³ –3x² – x – 15. What is the value of P(2).

• 25

• 17

• 11

• 9