Write as an equation.

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

Solve the equation.

Rewrite the equation as .

Factor each term.

Factor by grouping.

For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

Factor by grouping.

For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

Multiply each term by and simplify.

Multiply each term in by in order to remove all the denominators from the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Solve the equation.

Add to 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 .

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 the numerator.

Raising to any positive power yields .

Multiply by .

Multiply by .

Add and .

Subtract from .

Simplify the denominator.

Raising to any positive power yields .

Multiply by .

Multiply by .

Add and .

Add and .

Reduce the expression by cancelling the common factors.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

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 (2x^2+5x-12)/(3x^2+17x+20)