Roots and Zeros of Polynomials

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!
• No, it is not a factor!

Divide Using Synthetic Division:

(4x² - 24x + 35) / (2x - 5)

• 2x - 7
• 2x - 12
• 2x + 12
• 2x + 7

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

• YES
• NO

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

• Yes
• No

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

• -2
• -6
• -12
• 0

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

• -25
• 25
• 113
• -113

If 𝒙²−𝟓 is divided by 𝒙−𝟐, then what is the remainder?

• 1
• -1
• 9
• 0

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

• 0
• 10
• 15
• -7

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

2x³ + 5x² + 9 ÷ x + 3

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