Synthetic and Polynomial Division

(2x³ + 5x² + 9) ÷ (x + 3)

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

(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

(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

x³-3x²-10x+24 ÷ x+3

• x²-7x+5
• x-8
• x²-6x+8
• x+9

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

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

• 76

• 81

• 7

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

• -71

• 71

• 145

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

• -2
• -6
• -12
• 0

When can we use Synthetic Division to divide polynomials?

• Any time we need to divide.

• When dividing by a binomial

• When dividing by any polynomial.

• Only when dividing by a linear factor with a leading coefficient of 1

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

• 0
• 1
• 2
• 3