The Remainder and Factor Theorems

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes, the remainder is 0

• no, the remainder is 52

• no, the remainder is 2

• yes, the remainder is -3

Tags

CCSS.HSA.APR.B.2

Let f(x) = 4x² -33x -27.  Is k = 9 a zero of the function?

• yes, the remainder is 0

• no, the remainder is 9

• yes, the remainder is 9

Tags

CCSS.HSA.APR.B.2

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

x³-3x²-10x+24 ÷ x+3

• x²-7x+5
• x-8
• x²-6x+8
• x+9

Tags

CCSS.HSA.APR.D.6

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

If 2 is a root of x³ - 3x² + 2x + 2, then when the polynomial is divided by x-2, it produces a remainder of ?

• 0

• 2

• 8

• 26

Tags

CCSS.HSA.APR.B.2

If 𝟐x²+𝟏𝟎 is divided by 𝒙−𝟏, then what is the remainder?

Tags

CCSS.HSA.APR.B.2

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

• 150

• 80

• 70

Tags

CCSS.HSA.APR.D.6

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

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

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2