Warm-up: 9/9Factor the following polynomialsa.)

b.)

c.)

28122 xx

10173 2 xx

1892 33 xxx

Objective: To divide polynomials by long division or Synthetic division.

Essential Question: When is it appropriate to use long divisionOr synthetic division to divide polynomials?

9/9

Dividing a polynomialby a monomial:

x

xxx

xxxx

2

1264

21264

23

23

Divide a polynomialby a non-linear polynomial:

a.) Put both polynomials inStandard form, (use zeros if missing a term)

b.) Divide the first term of the dividend by the first term of the divisor and line up terms.

c.) Multiply

d.) Subtract

e.) Bring down

f.) Repeat

1319652

52

13196

5213196

2

2

2

xxx

x

xx

xxx

Divide a polynomialby a linear binomialUsing synthetic division:

a.) write in synthetic division form with All place values and no variables. Set the divisor equal to zero to get the number out front.

b.) Bring down first coefficient.

c.) Multiply and add. Repeat until you run out of numbers.

d.) Result is the coefficients in order by one less degree.

255

5

25

525

4

4

4

xx

x

x

xx

Essential Question: When is it appropriate to use long divisionOr synthetic division to divide polynomials?

Homework: Polynomial DivisionHand-out