Write as an equation.

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 using the rational roots test.

If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient.

Find every combination of . These are the possible roots of the polynomial function.

Substitute and simplify the expression. In this case, the expression is equal to so is a root of the polynomial.

Substitute into the polynomial.

Raise to the power of .

Multiply by .

Raise to the power of .

Multiply by .

Add and .

Raise to the power of .

Multiply by .

Add and .

Multiply by .

Subtract from .

Add and .

Since is a known root, divide the polynomial by to find the quotient polynomial. This polynomial can then be used to find the remaining roots.

Divide by .

Write as a set of factors.

Factor using the rational roots test.

If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient.

Find every combination of . These are the possible roots of the polynomial function.

Substitute and simplify the expression. In this case, the expression is equal to so is a root of the polynomial.

Substitute into the polynomial.

Raise to the power of .

Multiply by .

Raise to the power of .

Multiply by .

Subtract from .

Multiply by .

Subtract from .

Add and .

Since is a known root, divide the polynomial by to find the quotient polynomial. This polynomial can then be used to find the remaining roots.

Divide by .

Write as a set of factors.

Factor using the perfect square rule.

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 .

Remove unnecessary parentheses.

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 .

Subtract from 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.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

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.

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 .

Simplify each term.

Raising to any positive power yields .

Multiply by .

Raising to any positive power yields .

Multiply by .

Raising to any positive power yields .

Multiply by .

Multiply by .

Simplify by adding zeros.

Add and .

Add and .

Add and .

Add and .

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 7x^4-32x^3+6x^2+72x+27