Review Topic 8A

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify by number of terms:
2x – 9

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify by number of terms:
12

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify by degree of polynomial:
7x³ – 8x² + 9

• Constant
• Linear
• Quadratic
• Cubic

Classify by number of terms:
7x³ – 8x² -4x+ 9

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify the polynomial:
3x² – 8x + 1

• quadratic trinomial
• cubic trinomial
• quadratic binomial
• cubic binomial 

 $f\left(x\right)=3x^4-2x+7$  What is the following polynomial:

• quartic trinomial

• quintic trinomial
  

• cubic trinomial

• it is not a polynomial

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

• Left up    Right up
• Left up   Right down
• Left down   Right up
• Left down   Right down

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd