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
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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
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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February 01, 2016
Multiply two Polynomials: Monomials:
Monomial and polynomial:
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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February 01, 2016
Multiply two Polynomials: In General:
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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February 01, 2016
Multiply Binomials: Special "trick": FOIL ﴾or FIOL or LIFO or FILO or...﴿
Try it!
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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February 01, 2016
Squaring Binomials: What it isn't:
What it is:
Geometrically:
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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February 01, 2016
Squaring Binomials: Multiply:
Does anyone see a pattern ﴾think about the geometric meaning﴿?
Square of a Binomial
Do NOT do:
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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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
Math 95 Section 5.4 Multiplying Polynomials Blank.notebook
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February 01, 2016
For the following polynomial function, evaluate for the given values: