Polynomial Division and Remainder Theorem

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

• Yes

• No

2x³ + 7x² - 6x - 8 ÷ x + 4

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

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

• YES

• NO

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

• Yes

• No

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

What is the remainder when x⁴ - 5 is divided by x + 3?

• 76

• 81

• 7

What is the remainder when (x¹³ + 10) is divided by (x + 1)?

• 9

• 10

• 11

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

If (x-2) is not a factor of (2x³-5x-7), what is the remainder?

• -13

• 4

• 13

• -1

• x-2 is a factor of g(x)

• x+2 is a factor of g(x)

• g(0) = -2

• g(0) = 2