Remainder theorem and 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

(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

What is the remainder when      a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

Tags

CCSS.HSA.APR.B.2

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

Tags

CCSS.HSA.APR.D.6

Which term is missing in this problem?
(2x³ + 5x² + 9) ÷
(x + 3)

• x⁴
• x³
• x²
• x

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

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

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C