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Algebra Examples
Step 1
Write as an equation.
Step 2
Step 2.1
To find the x-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
Step 2.2.1
Rewrite the equation as .
Step 2.2.2
Factor the left side of the equation.
Step 2.2.2.1
Factor out of .
Step 2.2.2.1.1
Factor out of .
Step 2.2.2.1.2
Factor out of .
Step 2.2.2.1.3
Rewrite as .
Step 2.2.2.1.4
Factor out of .
Step 2.2.2.1.5
Factor out of .
Step 2.2.2.2
Factor.
Step 2.2.2.2.1
Factor using the AC method.
Step 2.2.2.2.1.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 2.2.2.2.1.2
Write the factored form using these integers.
Step 2.2.2.2.2
Remove unnecessary parentheses.
Step 2.2.3
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2.2.4
Set equal to and solve for .
Step 2.2.4.1
Set equal to .
Step 2.2.4.2
Add to both sides of the equation.
Step 2.2.5
Set equal to and solve for .
Step 2.2.5.1
Set equal to .
Step 2.2.5.2
Add to both sides of the equation.
Step 2.2.6
The final solution is all the values that make true.
Step 2.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 3
Step 3.1
To find the y-intercept(s), substitute in for and solve for .
Step 3.2
Solve the equation.
Step 3.2.1
Remove parentheses.
Step 3.2.2
Remove parentheses.
Step 3.2.3
Simplify .
Step 3.2.3.1
Simplify each term.
Step 3.2.3.1.1
Raising to any positive power yields .
Step 3.2.3.1.2
Multiply by .
Step 3.2.3.1.3
Multiply by .
Step 3.2.3.2
Simplify by adding and subtracting.
Step 3.2.3.2.1
Add and .
Step 3.2.3.2.2
Subtract from .
Step 3.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 4
List the intersections.
x-intercept(s):
y-intercept(s):
Step 5