# Find the X and Y Intercepts f(x)=-4x^2-10x-2

Find the x-intercepts.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Rewrite the equation as .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Multiply by .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Multiply by .
Change the to .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Multiply by .
Change the to .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
The final answer is the combination of both solutions.
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercepts.
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 .
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 f(x)=-4x^2-10x-2