Remainder & Factor Theorem

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

• -25

• 25

• 113

• -113

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

When a polynomial function f(x) is divided by
 (x - 8), the remainder is 12. 
What is f(8)?

• -8

• 8

• 12

• cannot be determined

If dividing polynomial g(x) by (x – 5) yields a remainder of 3, which must be true?

• g(5) = 3

• g(-5) = 3

• g(3) = 5

• g(3) = -5

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

What is the remainder when 5x³-14x²-8x+5 is divided by x-3

• -13

• 10

• 13

• -10

Using the remainder theorem, find the value of k if the polynomial x^3 - 3x^2 + kx - 5 leaves a remainder of 4 when divided by (x - 1).

• 11

• -9

• 7

• 2

What is the remainder if (x³ - 5x² + 2x - 10) is divided by (x - 5)?

• 0

• 4

• 7

• -1

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

• Yes, it is a factor!

• No, it is not a factor!