### Concept (1)

Graphing higher degree polynomial functions can be more complicated than graphing linear and a href="/math/algebra/quadratic-equations-and-functions/graphing-quadratic-equations">quadratic functions. **Polynomial graphs** can be graphs of functions where the degree of the highest term is greater than one. When we graph polynomials with varying degrees it is easier to identify the end behavior, shape and turning points.

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Sample Problems
(13)

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###### Problem 1

How to graph a second degree polynomial.

###### Problem 2

How to graph a third degree polynomial.

###### Problem 3

How to graph a fourth degree polynomial

###### Problem 4

Connecting end behavior of any higher degree polynomial to patterns in quadratic and cubic functions.

###### Problem 5

Graphing a third degree polynomial with all real zeros using factoring by grouping.

###### Problem 6

Graphing quadratic and cubic functions with focus on end behavior with all zeros multiplicity one.

###### Problem 7

Graphing a third degree polynomial with irrational zeros from factored form.

###### Problem 8

Graphing a fourth degree polynomial with all real zeros using synthetic division.

###### Problem 9

Focus on multiplicity of zeros and how the graph will cross or bounce at certain x-intercept values.

###### Problem 10

Comparing imaginary solutions with real zeros that show up as x-intercepts on a graph.

###### Problem 11

Graphing a third degree polynomial from factored form with all real zeros.

###### Problem 12

Graphing a fourth degree polynomial from factored form with even multiplicity of zeros.

###### Problem 13

Finding irrational zeros of polynomials using the quadratic formula.