Remainder 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

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

What is the remainder if

(x³ - 5x² + 2x - 10) is divided by (x - 5)?

• 0

• 4

• 7

• -1

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

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

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

Find the value of k, if x – 1 is a factor of 4x³ + 3x² – 4x + k.

• 3

• 0

• -3

• none of these

If (x - 2) is a factor of x^3 - kx^2 + 2x - 4, then what is the value of k?

• -2

• -1

• 1

• 2