# How do you graph by using the zeros for #f(x)=-4x^3+4x^2+15x#?

##### 1 Answer

#### Answer:

#### Explanation:

To find the zeroes, we'll first factor out an

We can then factor the quadratic by grouping:

Now we can use the zero factor principle to figure out that the zeroes are:

In terms of the graph we can say that the graph will go from positive infinity (because of the negative leading coefficient), cross the

We can see that our conclusions were in fact correct if we look at the graph:

graph{-4x^3+4x^2+15x [-35.9, 29.07, -9.97, 22.5]}