The Remainder 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

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

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

Which binomial is a factor of 
f(x)= x³ + x² -24x +36?

• x + 2
• x + 3
• x + 6
• x + 9

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 of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

• -71

• 71

• 145

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

• -13

• 1

• 3

If f(x) = 5x² ─ 7x ─10, find the value of f (5) using synthetic division.

• 150

• 80

• 70

Tags

CCSS.HSA.APR.D.6

Given P(x) = x³ + x² – x ─ 9, what is the value of P (4)?

• 14

• -53

• 67

Find the remainder when P(x) = 3x² + 5x + 10 is divided by 3x ─ 1 .

• 3

• 6

• 12

What is the remainder when n³ - 7 is divided by n + 5 ?

• 118

• 132

• -132

Tags

CCSS.HSA.APR.B.2