Warm-up Nov. 20 Lovely Wednesday! You have 15 minutes to work on your quiz. You may use a...

Warm-up Nov. 20Lovely Wednesday! You have 15 minutes to work on your quiz. You may use a calculator. Good luck and relax!

Put your homework on your desk.

HW 7: green text p. 201 #s 3 - 17 & study for your test

Notes 6: Long Division with Polynomials Foldable

Review: Divide a polynomial by a monomial.

x

xxx

2

462 23

x

x

x

x

x

x

2

4

2

6

2

2 23

232 xx

Review: Divide a polynomial by a monomial.

2

564 3 xx

2

5

2

6

2

4 3

xx

2

532 3 xx

Review: Long Division.

4

5253

4

5213

1

Check

13

441

5733

130

DivisorDividend

Quotient

Before Nhots

After Nhots

Example 1: Divide2

822

x

xx

822 2 xxxx

xx 22 x4 8

4

84 x0

Check

)2)(4( xx

8422 xxx

822 xx

x

x2

)2(xx

x

x4 )2(4 x

x

4

Example 2: Divide32

156 2

x

xx

15632 2 xxx

0

Checkx

x

2

6 2

x

x

2

10

−-

++

36x

7

42133

36

x

xx

3x

36 7xx 42

6

426 3 x0

Check

)6)(7( 33 xx

4276 336 xxx

4213 36 xx

)7( 33 xx

)7(6 3x

42137 363 xxx

3

6

x

x

3

36

x

x

Example 3: Divide

− +

−+

0

Example 4: Divide

− −

++

Your turn

Long Division

1. Divide the first term of the numerator by the first term of the denominator.

2. Distribute your quotient by the entire polynomial in the denominator.

3. Distribute a negative by through your product.