Multiplication of Polynomials
Review:
Watch Khan Academy's Video on using the FOIL method to multiply polynomials.
Khan Academy Multiplying Polynomials
 To multiply polynomials you use the _____ property.
 If solving for
3(9x+6) for example, you would distribute the __ unto the 9x and the 3 unto the __. Which of the following describes the action above?
(3×9x)+(3×6) OR(3×9x)×(3×6)
 Which of the following describes the action above?
 When multiplying polynomials, you must use the distributive property...
 once
 twice
 multiple times (it depends on the specific polynomial)
 True or False? Binomials are the same thing as polynomials.
FOIL Method
FOIL stands for first, outer, inner, ____. To FOIL, first multiply the first term in each of the parentheses together. Then multiply the outer terms in each of the parentheses together. Next multiply the inner terms of the parentheses together. ____ the last/ending terms of each of the parentheses together. Finally, add each of the products together and combine ____ to get your final answer.
1) Find the product of
2) FOIL
3) FOIL
Method:
Although this problem may appear different because you are multiplying a binomial by a polynomial, you still use the distributive property. Unlike problem #1 where you were only distributing each number onto two terms, here you have to distribute some of the terms onto three other terms. This picture below demonstrates this distribution.
4) FOIL

−4s2(3s3+7s2+11) Careful with the exponents! 
(2g−5)(3g3+9g2+7g+12)