To find the x-intercept(s), substitute in for and solve for .

Solve the equation.

Rewrite the equation as .

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to and solve.

Set the first factor equal to .

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

Simplify .

Rewrite as .

Pull terms out from under the radical, assuming real numbers.

Set the next factor equal to and solve.

Set the next factor equal to .

Set the equal to .

Add to both sides of the equation.

Set the next factor equal to and solve.

Set the next factor equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

x-intercept(s) in point form.

x-intercept(s):

x-intercept(s):

To find the y-intercept(s), substitute in for and solve for .

Solve the equation.

Remove parentheses.

Simplify .

Raising to any positive power yields .

Subtract from .

Raise to the power of .

Multiply by .

Add and .

Multiply by .

y-intercept(s) in point form.

y-intercept(s):

y-intercept(s):

List the intersections.

x-intercept(s):

y-intercept(s):

Find the X and Y Intercepts f(x)=x^3(x-2)^2(x+5)