Long Division and Synthetic Division

Divide using 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

Divide using synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

If (x²+3x+7) is divided by (x+2), then what is the remainder?

• 0

• -3

• 9

• 5

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)
• 2x² - 2x + 6  R(-23)
• 2x² - 2x + 8  R(-20)
• 2x² - 4x + 1  R0

(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
(5r² - 20r + 11) ÷ (5r - 5)

• r - 3 + 4/5r - 5
• r - 3 - 4/5r - 5
• r + 3 + 4/5r + 5
• r + 3 - 4/5r + 5

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

• 0
• 2x-10
• -2x-10
• 2x+10

(4x² - 24x + 35) ÷ (2x - 5)

• 2x - 7
• 2x - 12
• 2x + 12
• 2x + 7

(4x⁴-3x³-4x²-x+3)/(4x-3)

• x³+x²+x-1
• x³-x-1
• x³-2x-1
• x³-x²+x-3

x⁴ - 10x³ + 35x² - 50x + 24 ÷ x² - 3x + 2

• x² - 7x + 12

• x³ + 3x² + 4x - 1

• x² - 1

• x² + 7x - 12