Dividing Polynomials Synthetic Division

Divide the polynomial by synthetic division.

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

• 3x³ - 5x² - 2x + 8

• 3x² + x - 6

• 3x² - 5x - 2 + 8/x+1

• 3x³ + x² - 6x

Divide the polynomial by synthetic division.

(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

Divide the polynomial by 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

For synthetic division, what would be the number in the left hand box?

• 0

• 1

• 2

• 3

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0

• 2

• 4

• 6

Divide the polynomial by synthetic division.

(-2x²+4x+48) ÷ (x+4)

• -2x+12

• 2x+12

• -4x+9

• 4x+9

• x²-7x+5

• x-8

• x²-6x+8

• x+9

Divide the polynomial by synthetic division.

(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

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

What is the remainder when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0

• -10

• -2x-10

• 2