Unit 3 Polynomials

1
Unit 3 Polynomials

• 5-1 Graphing Polynomials

2
Key Terms for Classifying Polynomials

• Define Polynomial is a monomial or a
  sum/difference of monomials.
• Define Degree is the greatest exponent among
  all terms.
• Define Turning Points (A.K.A. relative max/min)
  places where the graph changes direction
• Define End Behavior directions (up or down) of
  the graph to as it goes towards negative infinity
  and as it goes towards positive infinity.

3
How To Classify Polynomials
Degree Name Using Degree Polynomial example Number of terms Name using of terms
5
X 4
3x2
4x3 2x2 x
2x4 5x2
-x5 4x2 2x 1
Constant
1
Monomial
0
Linear
2
Binomial
1
2
Quadratic
1
Monomial
3
Cubic
3
Trinomial
4
Quartic
2
Binomial
Quintic
Polynomial of 4 terms
5
4
4
Graphing Polynomials
Graph label turning points, and determine the
end behavior

• To graph a polynomial
• Type into y
• Find all turning points (2nd trace max/min)
• Find points on either side of turning points
• GRAPH

gt
Relative Max
Relative Min
gt
5
Practice

• Pg. 293 35-38 graph, label turning points,
  determine end behavior, and domain and range.