Rationals and Polynomials

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3

• -1, 3/2, 3 

• -1/2, 3, 3

• -1/2, 1, 3

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

Determine the relative maximum(s) and minimum(s) for the function.

f\left(x\right)=2x^3-9x^2+12x-4

• Max: (1, 1)  Min: (2, 0)

• Max: (2, 0)  Min: (1, 1)

• Max: None  Min: (2, 0)

• Max: (1, 1) Min: None

Choose the two options that correctly describe the end behavior of the function.

• Graph is tangent to the x-axis at x = 0

• Graph intersects the x-axis at x = 2

• Graph is tangent to the x-axis at x = -5

• Graph is tangent to the x-axis at x = 2