Multiplying Polynomials

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Multiplying Polynomials Be able to use different methods to multiply two polynomials.

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Presentation transcript:

Multiplying Polynomials CCM2 11-2 and 3

Distributive Property Process similar to that used with numbers in grade school. Multiply the term outside the parenthesis with each term inside the parenthesis. Example: Multiply Distributed the “7x” Simplified each term

More than one set of parenthesis Treat one polynomial in parenthesis as a single object. Distribute that object to each term of the other polynomial Then distribute these terms into the original polynomial Combine any like terms that result Example: (x2 + 6x + 8)(3x + 2) Treat x2 + 6x + 8 as one item (x2 + 6x + 8) ∙ 3x + (x2 + 6x + 8) ∙ 2 Distributed it to each term of 3x + 2 3x3 + 18x2 + 24x + 2x2 + 12x +16 Distributed the terms into x2 + 6x + 8 3x3 + 20x2 + 36x + 16 Combined like terms∙

Multiplying Binomials (FOIL) First – Outside – Inside – Last Combine like terms Example: (6x + 8)(3x + 2) First Outside Inside Last (6x)(3x) + (6x)(2) + (8)(3x) + (8)(2) 18x2 + 12x + 24x + 16 18x2 + 36x + 16

Vertical Method Stack the polynomials (best if the short one is on the bottom) Multiply similar to how you do numbers x2 + 6x + 8 3x + 2 2x2 + 12x + 16 + 3x3 + 18x2 + 24x . 3x3 + 20x2 + 36x + 16

Summary Distributive Property Handling multiple sets of parenthesis FOIL Vertical Multiplication Thank You