Remainder & Factor 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

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

• Yes
• No

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.D.6

(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

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Divide Using Synthetic Division:

(4x² - 24x + 35) / (2x - 5)

• 2x - 7
• 2x - 12
• 2x + 12
• 2x + 7

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

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