Remainder and Factor Theorem and Finding Zeros

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

• -2

• -6

• -12

• 0

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

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

• Yes

• No

4x⁴+4x³-9x²-x+2 ÷ x-1

• 4x³+8x²-7x-2

• 4x³+19x²-x-2

• 4x³+8x²-x-9

• 4x³+8x²-x-2

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. 

If x - 2 is NOT a factor of (2x³ - 5x - 7), what is the remainder?

• -13

• 2x³ + 4x² +3x - 1

• 13/x-2

• -1/x-2

find the value of k when x³-2kx²+3x-1 is divided by x-1 and the remainder is -3

• 3

• -3

• 2

• 6

Is (y + 3) a factor of the polynomial: y³ - 6y + 9

• yes

• no

• maybe

• only on Tuesday's

Is (x + 2) a factor of the polynomial: x⁴ + x³ - 2x² + 3x + 7, and what was the remainder?

• no, R=1

• yes, R=0

• no, R=29

• yes, R=5