1. 6.3 Dividing Polynomials (Day 1)

2. Quotient Divisor Dividend So is 6 a factor of 24? Yes, 6 x 4 = 24
The remainder is 0
So is 9 a factor of 6413?
No, 9 x 712 = 6413
The remainder is 5 not 0

3. Polynomial Long Division
Divide using long division. Check your answers.
R 5
Process to get quotient answers.
So is x – 4 a factor of x2 – 3x + 1?
No, (x – 4)(x + 1) = x2 – 3x + 1
The remainder is 5 not 0.

4. White Boards Divide using long division. Check your answers.
Quotient?
Quotient?
Is x+ 4 a factor?
Yes
Is x – 2 a factor? No

5. Synthetic Division The Shortcut of Long Division
A simplified process to divide by a linear factor.
You omit all variables and exponents.
By reversing the sign in the divisor, you can add throughout the process instead of subtracting.
add
add
add
multiply
Quotient?

6. Divide using synthetic division.
White Boards 6.
Quotient?

7. 6.3 Dividing Polynomials (Day 2)

8. 1. 2. Divide using synthetic division. White Boards Quotient? add add
multiply
Quotient? 2.

9. Divide using synthetic division.
White Boards 2.
Quotient?

10. 3. Find P(-1)
Remainder Theorem: If a polynomial P(x) of degree n > 1 is divided by (x – a), where a is a constant, then the remainder is P(a)
P( – 1) = 2

11. = -22 = 168 Use Synthetic Division and the Remainder Theorem to find:
White Boards
Use Synthetic Division and the Remainder Theorem to find:
= -22
= 168