Factor and Remainder Theorem Review

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

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. 

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

• yes

• no

• maybe

• only on Tuesday's

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

• -2

• -6

• -12

• 0

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

• -2

• -1

• 1

• 2

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

• Yes, it is a factor!

• No, it is not a factor!

If (x + 1) is a factor of 2x³ + ax² + 20x + 1, then find the value of a

• a = -21

• a = 21

• a = 20

• a = 22

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

• 3

• 0

• -3

• none of these

If (x + 1) is a factor of 2 x ³ + a x ² + 2 bx + 1, then find the values of a and b given that 2 a – 3 b = 4

• a = –1, b = –2

• a = 2, b = 5

• a = 5, b = 2

• a = 2, b = 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