Combine like terms, find greatest common factors, and reduce fractions
Answer: 0, 4, -9
Set the equation equal to zero.
x(x - 4)(x + 9) = 0
Solve for x by setting each factor equal to zero.
The factors in the equation are x, (x - 4), and (x + 9).
x = 4
x = -9
The zeros of the function are 0, 4, and -9.
We have the following function that is a
quadratic function:So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:
As you can see in the figure. This function decreases from
and increases from
Finally, another thing we can see from the graph is that the vertex is the point: