Multiplying Polynomials Monday, March 5, 2014
Remember, to add polynomials, you combine like terms. • To subtract polynomials, you add the opposite. • So, how do you multiply polynomials??? Performing operations
When multiplying, multiply the constants, then the variables. • Remember to use the laws of exponents (when multiplying you add the exponents). • Ex: 2x2 * 5x3 = 10x5 How do I multiply monomials?
To multiply a monomial and a polynomial, you simply distribute. • Ex: 2x2 (3x3 – 4x2 + x – 5) 6x5 – 8x4 + 2x3 – 10x2 How do I multiply a monomial and a polynomial?
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.) How do I multiply a binomial by a binomial?
1) Distribute 2) Line up your like terms 3) Add Ex: (2x2 – 3x + 4) (x4 + 2x3 – 4x – 3) 2x6 + 4x5 – 8x3 – 6x2 – 3x5 – 6x4 + 12x2+9x + 4x4 + 8x3 – 16x – 12 2x6 + x5 – 2x4 + 6x2 – 7x – 12 How do I multiply a polynomial by a polynomial?
Time to practice: • 15 Odd Problems-On Notebook Paper Classwork
Practice more at home: • 15 Even Problems-On notebook paper Homework
Do you prefer the FOIL or Box method for multiplying binomials? Why? Exit Ticket