Remainder/Factor Theorem

What is a way to show that (x-5) is a factor of the polynomial

2x⁴ - 3x³ - 35x² - 9x + 45?

• You can use synthetic division and show that the remainder is 10

• You can use synthetic division and show that the remainder is zero

• Multiply (x - 5) five times by itself.

• There is no way to show that (x-5) is a factor of 2x⁴ - 3x³ - 35x² - 9x + 45.

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

Is (x-3) factor of (3x³+10x²-x-12)?

• Yes

• No

Tags

CCSS.HSA.APR.B.2

Is (x-8) a factor of (x²-16x+64)?

• Yes

• No

Tags

CCSS.HSA.APR.B.2

Is (x-2) a factor of (x³-8x²+14x-4)?

• Yes, (x-2) is a factor and the remainder is 5

• No, (x-2) is not a factor and the remainder is zero

• Yes, (x-2) is a factor and the remainder is zero

• No, (x-2) is not a factor and the remainder is 2

Tags

CCSS.HSA.APR.B.2

If (x-2) is not a factor of (2x³-5x-7), what is the remainder?

• -13

• 4

• 13

• -1

Tags

CCSS.HSA.APR.B.2

When (9x⁴- 45x³ + 37x² + x +2) is divided by (x-2), find the remainder.

• 656

• 652

• -64

• -368

Tags

CCSS.HSA.APR.B.2

What is the remainder if

(x³ - 5x² + 2x - 10) is divided by (x - 5)?

• 0

• 4

• 7

• -1

Tags

CCSS.HSA.APR.B.2