Roots of Polynomials

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

• no, 3 is not a zero of f(x)

• yes

• no, 2 is not a zero of f(x)

• no, -3 is not a zero of f(x)

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

Given f(x) = 3x³-4x²-28x-16. Which number below is zero of f(x)?

• 8

• -2

• 6

• 1

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

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

• 2

• 3
  

• 4

• -5

• 1,4,-2

• 0,2,-4

• 0,-2,4

• 1,-2,4