Synthetic Division, Long Division, Remainder Theorem

Divide using Synthetic Division:

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² - 5x + 12

What is the remainder?

(3x³ + 5x - 1) ÷ (x + 1)

• -2

• -9

• 7

• 0

Divide using Synthetic Division:

(x³ - 3x² - 10x + 24) ÷ (x + 3)

• x²-7x+5

• x-8

• x²-6x+8

• x+9

Choose the correct setup for the polynomial division:

(2x³ - 5x - 7) ÷ (x - 2)

• 2 | 2 -5 -7

• -2 | 2 -5 -7

• 2 | 2 0 5 7

• 2 | 2 0 -5 -7

Is (x + 4) a factor of the polynomial (-2x² + 4x + 48) ?

• yes

• no

Find the remainder using the Remainder Theorem:

(x² - 6x + 8) ÷ (x - 2)

• 1

• 2

• 0

• 3

What does it mean for a binomial to be a factor?

• There is no remainder

• There is a remainder

What steps should you take to divide polynomials using Synthetic Division?

• Divide, Multiply, Subtract, Bring Down

• Bring Down, Multiply, Add

• Add, Subtract, Multiply, Divide

• Plug in, Solve

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1
• x + 2
• x + 5
• x + 10

Which binomial is a factor of 
f(x)= x³ + x² -24x +36?

• x + 2
• x + 3
• x + 6
• x + 9