Factor and Remainder Theorem

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

• YES
• NO

Tags

CCSS.HSA.APR.B.2

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

• YES
• NO

Tags

CCSS.HSA.APR.B.2

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

• 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

CCSS.HSA.APR.D.6

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

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

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.HSA.APR.B.2

CCSS.HSA.APR.B.3

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2