Algebra 2 G Quiz Review: Remainder Theorem and Factoring

What is the remainder for the polynomial division shown?

• -12

• 0

• 4

• 2

Tags

CCSS.HSA.APR.B.2

Based on the synthetic division shown, is (x-4) a factor of the polynomial?

• YES

• NO

Tags

CCSS.HSA.APR.D.6

Based on the synthetic division shown, is (x-1) a factor of the polynomial?

• YES

• NO

Tags

CCSS.HSA.APR.D.6

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

• YES

• NO

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

Given P(x) = 3x³ + 5x² – 4x -8, what is the value of P(3)?

• 120

• 115

• 109

• 106

Tags

CCSS.HSF.IF.A.2

What is the remainder when P(x) = 3x³ + 5x² – 4x -8 is divided by (x-3)?

• 120

• 115

• 109

• 106

Tags

CCSS.HSA.APR.B.2

If the remainder of a given polynomial expression is 0, then (x –r) is NOT a factor of P(x).

• 
• 

Tags

CCSS.HSA.APR.B.2

x – r is a factor of P(x) if and only if the remainder R of P(x) ÷ (x-r) is ______.

Tags

CCSS.HSA.APR.B.2

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)