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Math 95 Section 5.4 Multiplying Polynomials Blank.notebook 1 February 01, 2016 Multiplying Polynomials Objectives: Multiply two polynomials Multiply binomials Square binomials Multiply the sum and difference of two terms Evaluate polynomial functions
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Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Feb 14, 2022

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Page 1: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

1

February 01, 2016

Section 5.4Multiplying Polynomials

Objectives:

• Multiply two polynomials

• Multiply binomials

• Square binomials

• Multiply the sum and difference of two terms

• Evaluate polynomial functions

Page 2: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

2

February 01, 2016

Multiply two Polynomials: Monomials:

Monomial and polynomial:

Page 3: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

3

February 01, 2016

Multiply two Polynomials: In General:

Page 4: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

4

February 01, 2016

Multiply Binomials: Special "trick": FOIL ﴾or FIOL or LIFO or FILO or...﴿

Try it!

Page 5: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

5

February 01, 2016

Squaring Binomials: What it isn't:

What it is:

Geometrically:

Page 6: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

6

February 01, 2016

Squaring Binomials: Multiply:

Does anyone see a pattern ﴾think about the geometric meaning﴿?

Square of a Binomial

Do NOT do:

Page 7: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

7

February 01, 2016

Multiply the sum and difference of two terms:Multiply:

Does anyone see a pattern ﴾what happens to O and I﴿?

Product of the Sum and Difference of Two Terms

Page 8: Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

Math 95 Section 5.4 Multiplying Polynomials Blank.notebook

8

February 01, 2016

For the following polynomial function, evaluate for the given values:

Evaulating Polynomial Functions: