1. 7.1 An Introduction to Polynomials
Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
Warm-up (IN)

2. Exponents are in decreasing order, left to right
Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
Notes
Monomial -
A number, variable, or the product of a number and one or more variables
Polynomial function -
Can be written as a monomial or a sum of monomials with whole # exponents
Standard form -
Exponents are in decreasing order, left to right
degree of a polynomial -
highest exponent
leading coefficient -
# in front of highest exponent

3. Degree Type Standard form # of terms monomial constant binomial 1
Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
Degree
Type
Standard form
# of terms
monomial
constant
binomial 1
linear
trinomial
quadratic 2
Polynomial 3
cubic 4
quartic
Polynomial 5
quintic
Polynomial

4. EX 1 – classify each polynomial by degree and by number of terms
Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
EX 1 – classify each polynomial by degree and by number of terms
quartic
cubic
polynomial
trinomial
quadratic
monomial

5. EX 2 – evaluate each polynomial for the given value of x.
Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
EX 2 – evaluate each polynomial for the given value of x.

6. Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
EX 3 – add or subtract

7. EX 3 – graph each function. Describe its general shape
Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
EX 3 – graph each function. Describe its general shape
cubic
S-shaped
quartic
w-shaped
2 turns
3 turns

8. Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph.
cubic
Always increasing
quartic
U-shaped
0 turns
1 turn

9. Out – Describe how to find the degree of a polynomial function.
Summary – Wow! Now, I can…
HW – TBD