Remainder and Factor Theorems

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

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.2

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

• YES
• NO

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.D.6

            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. 

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.2

• remainder is 8

• remainder is -2

• remainder is 0

• remainder is 6

For division, what # is in the left
box?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.B.2

if f(x) = 3x² -9x -20, find the value of f(5).

• 0
• 10
• 15
• -7