5-2 Polynomials Objectives Students will be able to: 1)Add and subtract polynomials 2)Multiply polynomials

Terminology Polynomial: monomial or sum of monomials – Examples: Terms: monomials that make up a polynomial Like terms: monomials that can be combined (contain the same variables with the same exponents on those variables) Binomial: polynomial with two unlike terms – Example: Trinomial: polynomial with three unlike terms – Example:

The degree of a polynomial is the degree of the monomial with the greatest degree, meaning: – 1) find the degree of each monomial comprising the polynomial – 2) whichever monomial has the highest degree, that is the degree of the polynomial Example: What is the degree of What is the degree of

To simplify a polynomial means to perform the operations indicated and combine like terms. Directions: Simplify each expression. 1)

2) 3)

4)

Try these. 5) 6) 7)

In order to multiply two polynomials, follow the distributive property. Start with the first term in the first polynomial, and then distribute it to each term in the second polynomial. Then move to the second term in the first polynomial, and distribute it to each term in the second polynomial. Repeat this process until each term in the first polynomial has been distributed to each term in the second polynomial.

Let’s try by multiplying two binomials.

Directions: Simplify each expression. 1) 2)

Try these. 3) 4)

5)