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

Solve the equation.

Rewrite the equation as .

Factor the left side of the equation.

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Factor using the perfect square rule.

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Set the equal to .

Subtract from both sides of the equation.

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 .

Simplify each term.

Raising to any positive power yields .

Multiply by .

Multiply by .

Simplify by adding zeros.

Add and .

Subtract from .

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 y=-x^2-12x-36