The Remainder and Factor Theorem

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1
• x + 2
• x + 5
• x + 10

Tags

CCSS.HSA.APR.B.2

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

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

Which binomial is a factor of 
f(x)= x³ + x² -24x +36?

• x + 2
• x + 3
• x + 6
• x + 9

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

We know f(-1) = 0 for the polynomial f(x) = x³-6x²+5x+12. What do we know is a factor of f(x)?

• (x-1)

• (x+1)

• (x-1)²

• x

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

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

• 0

• 10

• 15

• -7

Tags

CCSS.HSF.IF.A.2

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Find all the factors of   x³ -3x² -4x +12 given that -2 is a zero.

• (x-2) (x+2) (x+3) 
• (x-2) (x-2) (x+3)
• (x+2) (x+2) (x+3)
• (x-2) (x+2) (x-3)

Tags

CCSS.HSA.APR.B.2

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2