Factor and Remainder 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

For division, what # is in the left
box?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.B.2

When p(x) = 9x⁴- 45x³ + 37x² + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?

• p(2) = 656
• p(2) = 652
• p(2) = -64
• p(2) = -368

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

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

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

1. If P( -4) = 0, which of the following statements is true about P(x)?

• x+4 is a factor of P(x)

• P(x) = 0, has four negative roots

• 4 is a root of P(x) = 0

• P(0) = - 4

Tags

CCSS.HSF-IF.C.7C

What is the remainder when

(9x + 8x² +7x³ + … + x⁹) is divided by (x+1)?

• 8

• 6

• -5

• -9

Tags

CCSS.HSA.APR.B.2

Which polynomial when divided by (x - 2) equals (x² – x – 3) with a remainder of -3 ?

• x³ + 3x² – x + 3

• x³ – 3x² + x + 3

• x³ – x² – x + 3

• x³ – 3x² – x + 3

Tags

CCSS.HSA.APR.B.2