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

Which binomial is a factor of 
f(x)= 6x³ -35x² +34x +40?

• 2x - 3
• 2x - 5
• 3x - 2
• 5x - 2

Tags

CCSS.HSA.APR.B.2

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

• Degree: 6
• Degree: 5
• Degree: 3
• Degree: 2

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

• Yes, because the remainder is 1

• No, because the remainder is 1

• Yes, because the remainder is 0

• No, because the remainder is 0

Tags

CCSS.HSA.APR.B.2

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

• Yes, because the remainder is zero.

• No, because the remainder is not zero.

  The remainder is 8.

• No, because the remainder is not zero.

• No, because the remainder is not zero

  The remainder is 10

Tags

CCSS.HSA.APR.B.2

Which of the following is false?

A. (x-7) is a factor of (x²-5x+14)

B. (x-3) is a factor of (x²-6x+9)

C. (x + 1) is a factor of (x²+11x+10)

D. (x-7) is a factor of (x² -49)

• D

• A

• C

• B

Tags

CCSS.HSA.APR.B.2

Which statement is true?

• (x-3) is a factor of (x³ - 3x² + 2x + 2)

• (x-3) is not a factor of (x³ - 3x² + 2x + 2)

• The remainder when (x³ - 3x² + 2x + 2) is divided by (x-3) is zero.

• The remainder when (x³ - 3x² + 2x + 2) is divided by (x-3) is not zero. The remainder is 17.

Tags

CCSS.HSA.APR.B.2

Which of the following is a factor of 3x³ + 10x² - x - 12?

• (x + 1)

• (x - 1)

• (x + 2)

• (x - 3)

Tags

CCSS.HSA.APR.B.2

Which expression will give a

remainder to the polynomial

(x³ + 9x² + 23x + 15)

when the polynomial is divided by

the expression?

• x + 5

• x + 1

• x + 3

• x + 4

Tags

CCSS.HSA.APR.B.2