Multiplying Polynomials Monday, September 15, 2014.

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Presentation transcript:

Multiplying Polynomials Monday, September 15, 2014

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.

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

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)

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)

Classwork Algebra II Textbook p.232 #37-54

Homework Multiplying Polynomials Worksheet

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