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

Find the Roots (Zeros) f(x)=3x^3-12x^2-15x
Set equal to .
Calculate .
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The left part of the equation should be factored.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor.
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Factor using the AC method.
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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.
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Divide each term in by .
Clarify .
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Clarify terms.
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The common factor should be canceled of .
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Cancel the common factor.
Divide by .
Use the distributive law.
Clarify the expression.
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First, multiply by .
Move to the left of .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Clarify and Add like terms.
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Clarify each term.
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Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Apply the power rule to Add exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Put .
Multiply by .
Multiply by .
Subtract from .
First, divide by .
Factor the left side of the equation.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor.
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Factor using the AC method.
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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.
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Set the Then factor equal to .
Add to both sides of the equation.
Set the Then factor equal to and solve.
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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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