The Remainder Theorem

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

• -2

• -6

• -12

• 0

If dividing polynomial g(x) by (x – 1) yields a remainder of 2, which must be true?

• g(1) = 2

• g(-1) = 2

• g(2) = 1

• g(2) = -1

Find the zeros of the polynomial given one factor.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

• A
• B
• C
• D

• A

• B

• C

• D

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

• -71

• 71

• 145

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

• -13

• 1

• 3

If f(x) = 5x² ─ 7x ─10, find the value of f (5) using synthetic division.

• 150

• 80

• 70

What is the remainder when (x¹³ + 10) is divided by (x + 1)?

• 9

• 10

• 11

What is the remainder when (5x²⁰ – 19) is divided by (x ─ 1)?

• 81

• 14

• - 14