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Pretest. Please complete the pretest for this standard on your own . Try to remember all you can from our first discussion of this topic. Divide polynomials by monomials and polynomials with various techniques, including synthetic division. MA.912.A.4.4. LEQ: How do I divide polynomials?.

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Presentation Transcript
pretest
Pretest

Please complete the pretest for this standard

on your own. Try to remember all you can from

our first discussion of this topic.

slide2

Divide polynomials by monomials and polynomials with various techniques, including synthetic division.

MA.912.A.4.4

District School Board of Pasco County

leq how do i divide polynomials
LEQ: How do I divide polynomials?

Activator:

Factor the following:

Divide without using a calculator:

District School Board of Pasco County

answers
Answers:

District School Board of Pasco County

slide5
I do…

Factoring to Divide

The numerator is a monomial and cannot be factored.

The denominator has a GCF and that can be factored.

Next, cancel common factors that appear in both the numerator and the denominator.

Note: In the answer, you cannot cancel the 15 and the 5. In the denominator, the 5 is part of a term and not a factor.

Answer:

District School Board of Pasco County

slide6
I do…

Factoring to Divide

This numerator can be factored. This is the difference of perfect squares.

The denominator cannot be factored.

These two look similar, but are exact opposites. You can factor a -1 out of the denominator.

Cancel

Simplify:

Answer

District School Board of Pasco County

slide7
I do…

Polynomial Long Division

+2 is the remainder, and should be placed over the divisor and added to your quotient.

Subtract!!

Subtract!!

Subtract!!

Answer:

District School Board of Pasco County

slide8
I do…

Synthetic Division

Set up: Opposite of the constant of the binomial goes in the box. Don’t forget zero place holders when setting this up.

The leading coefficient drops down.

Repeat the process to the end.

Multiply diagonally.

Add vertical columns.

-2| 2 0 0 0 -32

_________________

32

-4

8

-16

-16

0

The last digit is the remainder. A zero remainder tells us that X+2 was a factor.

2

-4

8

District School Board of Pasco County

we do
We do
  • Sage and Scribe

District School Board of Pasco County

we do1
We do

Pick a Card

With your partner, takes turns picking a card. The student that picked the card shares it with their partner and offers the explanation or solution. The other student verifies for accuracy, then picks a card to take their turn.

District School Board of Pasco County

you do
You Do

Divide each of the following polynomials.

1.

2.

3.

District School Board of Pasco County

you do1
You Do

Cancel common factors from the numerator and the denominator.

Factor the difference of perfect squares in the numerator

District School Board of Pasco County

you do2
You Do

District School Board of Pasco County

you do3
You Do

1|

5 0 0 0 -2 1

5

5

5

3

5

5

5

5

5

3

4

District School Board of Pasco County

post test
Post Test

Please complete the post test for this standard

on your own. Do the best you can, hopefully

you will show improvement over your pretest

score.