Synthetic Division and Finding All Roots

• Take out a GCF.

• Use synthetic division to test one of the possible rational roots.

• Use the quadratic formula.

• Factor the polynomial.

• 0

• 1

• -1

• -5

• Plug a=5, b=-26, and c=5 into the quadratic formula.

• Evaluate the expression to find the last two roots.

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

• 0

• 1

• 2

• 3

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.

• No

• is

• is not

• Yes

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0

• 2

• 4

• 6

What is the remainder when dividing (x³ - 3x² - 10x + 24) by x+3?

• -4

• 8

• 0

• 3

When solving for ALL ROOTS, after completing synthetic division, what should the remainder be?

• -1

• Same as the root

• 0

• 1

When solving for ALL ROOTS, after completing synthetic division, how do you finish the problem?

• Set equal to x

• Factor

• Synthetic division with the remainder

• Quadratic formula