1. Multiplying Polynomials Thursday, September 12, 2013

2. Performing operations Remember, to add polynomials, you combine like terms. To subtract polynomials, you add the opposite. So, how do you multiply polynomials???

3. How do I multiply monomials? When multiplying, multiply the constants, then the variables. Remember to use the laws of exponents (when multiplying you add the exponents). Ex: 2x 2 * 5x 3 = 10x 5

4. 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

5. 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 add like terms. (Mrs. Leahy hates the box. Several of her students like it.)

6. How do I multiply a polynomial by a polynomial? 1) Distribute 2) Line up your like terms 3) Add Ex: (2x 2 – 3x + 4) (x 4 + 2x 3 – 4x – 3) 2x 6 + 4x 5 – 8x 3 – 6x 2 – 3x 5 – 6x 4 + 12x 2 + 9x + 4x 4 + 8x 3 – 16x – 12 2x 6 + x 5 – 2x 4 + 6x 2 – 7x – 12

7. Classwork Time to practice: 20 problem worksheet

8. Homework Practice more at home: 10 problem Worksheet

9. Exit Ticket Do you prefer the FOIL or Box method for multiplying binomials? Why?