1. 6.2 Evaluating and Graphing Polynomials

2. Concept #1 Polynomials types by degree.
Degree Type Standard form
0 Constant 𝑓 𝑥 =𝑎𝑛𝑦 #
1 Linear 𝑓 𝑥 =
2 Quadratic 𝑓 𝑥 =
3 Cubic 𝑓 𝑥 =
4 Quartic 𝑓 𝑥 =

3. Concept #2 Is a function a polynomial?
Rules
All exponents with variables are integers ≥0.
Exponents are never negative .
Exponents are never variables.
Exponents are never fractions or decimals.
Writing in standard form goes from largest exponent to the constant.

4. Concept #3 Direct and synthetic substitution.
Example #1 Direct substitution for
𝑓 𝑥 = 2𝑥 3 + 5𝑥 2 −7𝑥+20 When x=-3
Now do synthetic

5. Concept #4 End Behavior all that matters is Degree and Lead coefficient
Positive LC and even power
Negative LC and even power
Positive LC and odd power
Negative LC and odd power

6. Homework 6.2 pg 333
#15-35 odd
#38-46 Even
#49-63 odd
Love Bonin