Synthetic Division Quiz Review

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

• 3x³ - 5x² - 2x + 8
• 3x² + x - 6
• 3x² - 5x - 2 + 8/x+1
• 3x³ + x² - 6x

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13
• 2x³ + 4x² +3x - 1
• 2x² - 4x + 3 - 13/x-2
• 2x² + 4x + 3 - 1/x-2

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 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

• -3

• 10

• 2

• -7

• 10

• 2

• -5

• -1

• 6

• 10

• -2

• 9

if f(x) = x³+8x+24, then find f(-2) using synthetic substitution.

• 12
• 8
• 0
• -6

f(5) = x³ - x² + 6x using synthetic substitution

• 51

• -51

• 130

• -130

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)