1. Bell Ringer What is the quotient of powers property and how does it apply to polynomial division?

2. Synthetic Division
Wednesday, September 26, 2017

3. Questions from the Homework?
Review Long Division
Divide
Multiply
Add the Opposite
Bring Down
If there is a remainder… write it as a fraction.
Like with decimals, you may need a placeholder.

4. Synthetic Division: A Polynomial by a Binomial
Write the coefficients.
Put the opposite of the constant of the divisor in the box.
Bring down, multiply, add, repeat.
Write your answer (1 degree less than the dividend).
Ex: 1. (5x3 – 13x2 + 10x – 8) ÷ (x – 2)
2. (x3 + 13x2 – 12x – 8) ÷ (x + 2)

5. Things to remember when using Synthetic Division…
You can only use synthetic division when dividing by a binomial that is of degree 1 with a coefficient of 1.
IF the coefficient is not 1, you can divide the polynomial and binomial by the coefficient and then use synthetic division, but it’s messy, so you might as well use long division.

6. You Try 1. (b4 – 2b3 + b2 – 3b + 2) ÷ (b – 2)
2. (x2 – 4x + 6) ÷ (x – 3)

7. Polynomial Division Worksheet Classwork: #21-30 (work backwards) Homework: #31-40

8. Exit Ticket 1. Why do you put the “opposite” in the box. 2
Exit Ticket 1. Why do you put the “opposite” in the box? 2. Where do you find the remainder? 3. Why is the quotient one degree less than the dividend?