Long Division Synthetic Division

Use long division to determine the quotient of the following:(4x² - 24x + 35) ÷ (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

What is the next step in long division?

• Bring the next thing down

• Add the terms

• Start Over

• Subtract the terms

For synthetic division, what would be the number in the left hand box?

• 0

• 1

• 2

• 3

• -2

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Find the quotient, write your answer in factored form.

• (x - 4) (2x³ + 3x) + 7

• (x - 4) (2x² + 3x + 8) + 7

• (x - 4) (2x² + 3x + 8)

• (x - 4) (2x² - x + 10) + 6

Use synthetic division to determine f(-3), if
f(x)= (3x³ -5x² -4x +1).

• -25

• 25

• 113

• -113

(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

If dividing polynomial g(x) by (x +2) yields a remainder of 0, which must be true?

• g(-2) = 0

• g(2) = 0

• g(0) = 2

• g(0) = -2

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25

• 25

• 113

• -113

• -2x

• 2x

• -7x

• 7x