Find the Roots (Zeros) f(x) equals three x to the power of three minus twelve x to the power of two minus fifteen x
Set equal to .
The left part of the equation should be factored.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor.
Factor using the AC method.
Use the form. Find a pair of integers whose product is and whose sum is . In such a case, whose product is and whose sum is .
Use the integers to write the factored form.
Delete unnecessary parentheses.
First, divide each term by and simplify.
Divide each term in by .
Clarify .
Clarify terms.
The common factor should be canceled of .
Cancel the common factor.
Divide by .
Use the distributive law.
Clarify the expression.
First, multiply by .
Move to the left of .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Clarify and Add like terms.
Clarify each term.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Apply the power rule to Add exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
Put .
Multiply by .
Multiply by .
Subtract from .
First, divide by .
Factor the left side of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor.
Factor using the AC method.
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 .
Write the factored form using these integers.
Delete unnecessary parentheses.
In case any individual factor in the left part of the equation equals , the entire expression will be equal to .
Make the initial factor equal to .
Make the following factor equal to and solve.
Set the Then factor equal to .
Add to both sides of the equation.
Set the Then factor equal to and solve.
Set the Then factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
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