Divide Polynomials Using Long Division

When asked to divide two polynomials and you are given a factor what methods can be used? (Select all that apply)

• Pascal's Triangle

• Long Division

• Synthetic Division

• Box Method

When using synthetic division or long division, what is the final value that is left over called?

• Coefficient

• Remainder

• Variable

• Factor

(4x² - 24x + 35) / (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

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)

Find the quotient when (21x² - 52x + 32) is divided by (7x - 8).

• 3x + 4

• 3x + 3

• 3x - 4

• 3x + 2

• This is correct

• This is incorrect, and the error occurs on the 2nd line!

• This is incorrect, and the error occurs on the 3rd line!

• This is incorrect, and the error occurs on the 4th line!

Divide (x³ + 3x² - 4x - 12) by (x² + x - 6)

• x - 2

• x⁵ + 6

• x + 2

• x² + 2