Algebra II The Remainder Theorem

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

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

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

• Yes, it is a factor!
• No, it is not a factor!

Tags

CCSS.HSA.APR.B.2

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

• A.  No, x - 6 is not a factor
• B.  Yes, x - 6 is a factor

If 2 is a root of x³ - 3x² + 2x + 2, then when the polynomial is divided by x-2, it produces a remainder of ?

• 0

• 2

• 8

• 26

            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