1. Bell Ringer
In elementary school, you learned long division. Describe, in detail, how to divide 232 by 4 without a calculator.

2. Dividing Polynomials
Monday September 26, 2016

3. Long Division
For Polynomials

4. Divide a Polynomial by a Monomial
The 1st way may be what you are used to seeing. The 2nd way is written like a rational function. Just like fractions, we can split it up. Then we can follow the rules of exponents.
6xy xy + 2x2y
xy xy xy
6y x
Divide a Polynomial by a Monomial
Ex:
(6xy2 – 3xy + 2x2y) ÷xy
Is the same as:
6xy2 – 3xy + 2x2y xy

5. You Try (5ab2 – 4ab + 7a2b) (ab)-1
Hint – First make the negative exponent positive.

6. Divide a Polynomial by a Binomial
Just like in elementary school…
Divide
Multiply
Subtract
Bring Down
If there is a remainder… write it as a fraction.
Like with decimals, you may need a placeholder.
Divide a Polynomial by a Binomial
Ex:
(x2 – 10x – 24 ) ÷ (x + 2)
(8x4 – 4x2 + x +4) ÷ (2x + 1)
(x3 + y3) ÷ (x + y)

7. You Try 1. (3a4 – 6a3 – 2a2 + a – 6) ÷ (a + 1)
2. (t2 + 3t – 9) ÷ (5 – t ) Hint: reorder the denominator
3. (3x3 – 5x2 + 10x – 3) ÷ (3x + 1)

8. Polynomial Division Worksheet Classwork (1-10) Homework (11-20)

9. Exit Ticket
What are the 4 steps for Polynomial Long Division?