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Multiplying Polynomials Monday, September 15, 2014

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Performing operations Remember, to add polynomials, you combine like terms. To subtract polynomials, you add the opposite. To multiply monomials, you distribute by multiplying the constants then the variables.

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How do I multiply a monomial and a polynomial? To multiply a monomial and a polynomial, you simply distribute. Ex: 2x 2 (3x 3 – 4x 2 + x – 5) 6x 5 – 8x 4 + 2x 3 – 10x 2

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How do I multiply a binomial by a binomial? FOIL – multiply first, outside, inside, then last (basically distribute) Box it – draw a box, put the numbers in, multiply and combine like terms. Examples: 1. (x + 2) (x + 5) 2. (3x + 10) (2x – 5)

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How do I multiply a polynomial by a polynomial? 1) Distribute 2) Line up your like terms 3) Add Or… Box it Ex: 1. (x + 2) (x 2 + 5x + 6) 2. (x 2 – 2x + 1) (x 2 + 5x + 6) 3. (2x 2 – 3x + 4) (x 4 + 2x 3 – 4x – 3)

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Classwork Algebra II Textbook p.232 #37-54

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Homework Multiplying Polynomials Worksheet

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Exit Ticket (on a half sheet of paper) Do you prefer the FOIL (distributing) or Box method for multiplying binomials/polynomials? Why?

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