1. Multiplying Polynomials
This PowerPoint will show you two methods that will multiply polynomials
Brandon Young

2. What are Polynomials?
A polynomial is made up of terms that are only added, subtracted, or multiplied.
It can have constants, variables, and exponents.
Polynomials can have many terms.

3. Multiply. (2x + 3)(5x + 8) Using the Distributive property, multiply
2x(5x + 8) + 3(5x + 8).
10x2 + 16x + 15x + 24
Combine like terms.
10x2 + 31x + 24
Another option is called the FOIL method.

4. FOIL
First terms
Outer terms
Inner terms
Last terms

5. Foil Method
The FOIL method can be used when you multiply 2 binomials. It tells you which terms to multiply.
Use the FOIL method to multiply these binomials: (y + 3)(y + 7).

6. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial.

7. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial.

8. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial.
y2 + 7y + 3y

9. Monomial times a Binomial
x(x+4)
Multiply each term in the parentheses by x
= x2+4x
The problem was completed using the distributive property.

10. Monomial times a Trinomial
2x(x2+3x+4)
Multiply the Monomial: 2x by the Trinomial: x2+3x+4
=2x3+6x2+8x

11. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial.
y2 + 7y + 3y + 21
Combine like terms.
y2 + 10y + 21 is your Final Answer.

12. Sources http://www.mathsisfun.com/algebra/polynomials.html-