Remainder and Factor Theroem

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-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Which one 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

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

Tags

CCSS.HSA.APR.B.2

If (x - 1) is one of the factor.

Factorize (x³ +7x² +7x -15).

• (x-1) (x+5) (x-3)

• (x-1) (x+5) (x + 3)

• (x+1) (x+5) (x-3)

• (x+1) (x-5) (x-3)

Tags

CCSS.HSA.APR.B.2

Which one is a factor of

f(x)= x³ + x² -24x +36?

• x + 2

• x + 3

• x + 6

• x + 9

Tags

CCSS.HSA.APR.B.2