Remainder and Factor theorem

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

Tags

CCSS.HSA.APR.B.2

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

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

Tags

CCSS.HSA.APR.B.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

Tags

CCSS.HSA.APR.B.2

We know f(4) = 0 for f(x)= x³-6x²+5x+12. Factor f(x) completely using this information.

• (x-4)(x+1)(x-3)

• (x-4)(x+1)(x+3)

• (x-1)(x-4)(x-3)

• (x+1)(x+4)(x+3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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

• yes

• no

• maybe

• only on Tuesday's

Tags

CCSS.HSA.APR.B.2