Polynomial Division and 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

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

• x+5

• -x+5

• -x-5

• x-5

solve using long division or synthetic 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

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

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

How can I tell, when doing synthetic division, if the binomial is a FACTOR of the dividend?

• The remainder is zero

• They are all factors

• We can't tell

• The remainder is a constant

What does this tell me?

• f(-2)= -27 and -27 is the remainder

• -2 is a solution of the function

• (x+2) is a factor of the function

• (x-2) is a factor of the function

Was this problem done correctly?

• Yes

• No