1. Warmup

2. 4-1 Operations with Polynomials
Multiply, divide and simplify monomials and expressions involving powers. Add, subtract, and multiply polynomials.

3. To simplify an expression containing powers means to rewrite the expression without parentheses or negative exponents.

6. Monomial is a number, a variable, or an expression that is the product of one or more variables with nonnegative integer exponents
IS A MONOMIAL
IS NOT A MONOMIAL

7. Simplify. Assume that no variable equals 0.

9. Polynomial means the sum of two or more monomials.
Binomial
Trinomial
Polynomial
The degree of a polynomial is the degree of the highest monomial term
Example: 3xy4 – 7x4

11. If adding, take off parentheses first, combine like terms.
Simplify:
Simplifying polynomials after adding, subtracting and multiplying polynomials.
If adding, take off parentheses first, combine like terms.
Redefine subtraction problems to addition problems by distributing -1 inside with multiplication.

12. When multiplying, make sure you distribute correctly