# How do you graph by using the zeros for #f(x)=3x^3-15x^2+18x#?

##### 1 Answer

Feb 23, 2017

You're going to have to factor to find the zeroes.

#0 = 3x^3 - 15x^2 + 18x#

Extract a common factor

#0 = 3x(x^2 - 5x + 6)#

#0 = 3x(x - 3)(x - 2)#

#x = 0, 3 and 2#

Now use properties of polynomial functions to determine the end behavior.

When you get more advanced in mathematics, you may use calculus to draw a more precise graph. But for the sake of this answer, I won't go into that. Here is the graph.

graph{3x^3 - 15x^2 + 18x [-10, 10, -5, 5]}

Hopefully this helps!