28+-+Sec.+10.2B

= //Multiplying Polynomials 10.2b// = //**by: Mike M & Dennis v**

How to multiply two polynomials using distributive properties and the FOIL method**
 * goal 1:what you should learn....


 * goal 2: how to use polynomial multiplication in real-life settings

Why you should learn it: You can model many situations with polynomial expressions that have been multiplied, such as a rate times a quantity.

When multiplying two binomials, you are aloud to use both right and left distributive properties, using the FOIL pattern you will be able to multiply 2 binomials in one step.** // @http://webmath.com/polymult.html

** Ex. Multiply:(x+4)(3x+1)

x(x+5)+1(x+5) x(x+3)+6(x+3) =x2+5x+1x+ 5 =x2+3x+6x+18 =x2+6x+5 =x2 9x+1

=x(3x+1)+4(3x+1) =3x2 + 4x +12x + 4 = 3x2+16x+4

Ex. Multiply: (x+1)(x+5) **

=x+5x+1x+5 =(x+5x)+(1x+5) =x(1+5)+1(1+5) =(1+5)(x+1)


 * Ex. multiply:(x+6)(x+3) **

x2+3x+6x+18 (x2+3x)+(6x+18) x(2+3)+3(2+3) (2+3)(x+3)

Practice problems-Use FOIL to simplify- 1. (3x+3)(2x+2)

2. (2x+6)(x+4)