Factors of Polynomials and Synthetic Divisions

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

Use synthetic division to divide the following polynomials:

3x³ - 2x² - 7x + 6 ÷

x + 1

• 3x³ - 5x² - 2x + 8

• 3x² + x - 6

• 3x² - 5x - 2 + 8/x+1

• 3x³ + x² - 6x

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Solve the following:

(n³ + 10n² + 31n + 32) /(n +6)

• n² + 4n + 5, remainder -12

• n² + 4n + 8, remainder -14

• n² + 4n + 7, remainder -11

• n² + 4n + 7, remainder -10

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

Is this division problem worked correctly?

• This is correct!
• This is incorrect!

Divide using long division (Be careful, your divisor is missing a term!!): (x⁴+12x³+37x²+14x)/(x²+7x)

• x²+5x+2

• x²-5x-2

• x²-5x+2

• x²-5x-2

Divide using long division:

• 2x - 5

• x - 4 + (3/4x - 5)

• 2x + 4 + (3/4x - 5)

• 2x + 4

Use synthetic division:

• A

• B

• C

• D

Divide (x² + 5x - 8) by (x + 3). What is the remainder?

• 16
• 12
• -14
• -16