Algebra 2 Dividing Polynomials

What is the purpose of synthetic division?

• To divide two polynomials quickly, especially when the divisor is linear

• To find the square root of a polynomial expressions

• To simplify polynomials into factored form

• To multiply two polynomials

In synthetic division, what does the final value in the row represent?

• The quotient of the division

• The remainder of the division

• The degree of the polynomial

• The divisor

The Remainder Theorem states that when a polynomial f(x) is divided by (x-c), the remainder is:

• F'(C)

• C^2

• f(c)

• Zero

What is the final answer?

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

Show your work.

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

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

Divide using long division. Show your work.

• A

• B

• C

• D

Is this the way to start?

• No, it should be a positive 2 on the outside.

• No, the coefficients are in the wrong order.

• yes

What is the first thing we do?

• Bring down the 5 below the line.

• Add all the coefficients

• Divide 5 by -2

• Multiply the 5 and 2