The Remainder Theorem

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

• -2

• -6

• -12

• 0

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

• -25

• 25

• 113

• -113

Determine the remainder of (10x⁴ - 50x³ - 800) ÷ (x - 6).

• -740

• 1,360

• 22,960

• 0

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

• -25

• 25

• 113

• -113

If (x²+3x+7) is divided by (x+2), then what is the remainder?

• 0

• -3

• 9

• 5

Find the remainder if you divide

(3x³ + 5x - 1) by (x + 1).

• 9

• -9

• 7

• -7

Which expression will give a remainder to the polynomial when the polynomial is divided by the expression?

• x + 5

• x + 1

• x + 3

• x + 4

What is a way to show that (x-5) is a factor of the polynomial 2x⁴ - 3x³ - 35x² - 9x + 45?

• You can use synthetic division and show that the remainder is 10

• You can use synthetic division and show that the remainder is zero

• Multiply (x - 5) five times by itself.

• There is no way to show that (x-5) is a factor of 2x⁴ - 3x³ - 35x² - 9x + 45.

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