Characteristics of Polynomial Functions

What are all the x-intercepts?

• (-2.55, 0), (2.55, 0)

• (-3,0), (-2,0), (2,0), (3,0)

• (0, 36)

• (-∞,∞)

Tags

CCSS.HSF-IF.C.7A

Identify all x-intercepts by clicking on the correct points on the graph.

Identify the y-intercept by click on the graph.

Is this an even or odd degree polynomial?

• Positive

• Negative

• Odd

• Even

x² + 2x³ - 6

• 3

• the degree of the polynomial is

• cubic trinomial

• 
• is the leading term

• the constant term is

• 2

• the name of this polynomial is

• -6

• the leading coefficient is

Match the following for the polynomial: y = x³ + 5x² + 4x - 7

• 3

• imaginary solutions

• -6

• degree

• 1

• real solutions

• 2

• constant/y-intercept

• 4

• number of terms

What is the leading coefficient of this polynomial?

• Positive

• Negative

• Odd

• Even

Is the leading coefficient positive or negative?

• +

• -

Tags

CCSS.HSF-IF.C.7A

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

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