Long Division Synthetic Division

(x²+4x-45)⁄(x+9) (use synthetic division)

• x+5

• -x+5

• -x-5

• x-5

(2x⁴-7x³+14x²-55x+21)

___________________________

(2x-7)

use synthetic division

• x²+7x-3

• 2x³+14x-6

• x²-7x+6

• 2x³+7x-3

solve using long division

• 2x² - x + 1 + 9/(x-2)

• 2x³ - x² + x + 9

• 2x² - x + 10

• x² - 2x + 1

solve using long division

• x + 5 + (2/2x - 4)

• x - 8

• x - 5 + (3/2x - 4)

• x + 5

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

x - 7 x² - 7 x + 7 x² + 3x - 54

• x - 7

• x² - 7

• x + 7

• x² + 3x - 54

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

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder.