Dividing Polynomials Algebra Two

What is the next step in synthetic division?

• Add the -48 to the 54

• Multiply the 54 and 6

• Divide the 54 by 6

• Bring down the -58

What is the next step in synthetic division?

• Multiply the -3 and -1

• Bring down the -3

• Add the 8 and -1

• Divide the -24 by -3

Identify the missing term to complete the solution.

• 28

• 38

• 48

• 58

It's time to write the answer. What goes in the yellow area?

• 9

• -9

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.

When can we use Synthetic Division to divide polynomials?

• Any time we need to divide.

• When dividing by a binomial

• When dividing by a trinomial

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

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Was this problem done correctly?

• Yes

• No

Divide using synthetic division

x³-3x²-10x+24 ÷ x+3

• x²-7x+5

• x-8

• x²-6x+8

• x+9