1. POLYNOMIALS Unit 4

2. The Laws of Exponents Let m and n be positive integers and a and b be real numbers with a 0 and b 0 when they are the divisors  a m * a n = a m+n  (ab) m = a m b m  (a m ) n = a mn  If m>n, a m = a m-n a n If n>m, a m = 1 a n a n-m 

3. Examples Simplify (-2x 3 y 2 )(-3x 2 y) (-2)(-3)(x 3 *x 2 )(y 2 y) 6x 5 y 3 Simplify (2r 3 ) 2 r 8 2 2 *(r 3 ) 2 r 8 4r 6 r 8 4r 14

4. Multiplying a Monomial and a Polynomial Simplify 5x 3 (5x 3 -6x 2 +3x-1) First distribute. Then simplify. 5x 3 (5x 3 )-5x 3 (6x 2 )+5x 3 (3x)-5x 3 (1) 25x 6 -30x 5 +15x 4 -5x 3

5. Class work 4-2 Using Laws of Exponents worksheet

6. Multiplying Polynomials Multiplying two binomials

7. Multiplying a binomial and a trinomial

8. Cubes

9. Homework Powers of Binomials worksheet