Find the zeros of the function. Then graph the function.

Question

y=(x+2)(x-5)(x-6)

The​ zero(s) of the function are_____

Answer 1

The zeros of the function can be found by setting y = 0:

0 = (x+2)(x-5)(x-6)

This means that either x+2 = 0, x-5 = 0, or x-6 = 0.

Solving these equations, we find:

x+2 = 0: x = -2
x-5 = 0: x = 5
x-6 = 0: x = 6

Therefore, the zeros of the function are x = -2, x = 5, and x = 6.

To graph the function, we can use these zeros and other points to show the shape of the curve. Since the degree of the function is 3, we expect a cubic curve.

Here is the graph of the function: