Polynomials End Behavior and Zeros

Find the root(s) of the function.

• x = 3

• x = -3, -1, 2

• x = -3, 2

• x = -1

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

Which x-value is a root of the function below? f(x) = x³ + 4x² + 9x + 36

• x = 3

• x = -3

• x = 4

• x = -4

Which number below is zero of f(x)?

• 8

• -2

• 6

• 1

If f(x) = 2x³-9x²-123x-220, which value below is a root?

• 18

• 4

• 11

• -7

If f(x) = 2x³-13x²+36, is x = 6 an x-intercept?

• No, because f(6) = 30

• Yes, because f(6) = 0

• Yes, because f(6) = 30

• No, because f(6) = 0

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

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

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Find all the roots of y=x³-2x²+4x-8  (Hint: Factor)

• -2, 2i, -2i

• 2, 2i, -2i

• 2,-2, 2i

• 1, 2i, 4