# Find the X and Y Intercepts y=-2x^2+11x+8

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 .
Rewrite as .
Factor out of .
Factor out of .
Multiply each term in by
Multiply each term in by .
Simplify .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply 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 .
Multiply by .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Change the to .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Change the to .
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 .