Find the Roots (Zeros) f(x)=3x^3-12x^2-15x

Find the Roots (Zeros) f(x)=3x^3-12x^2-15x
Set equal to .
Solve for .
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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.
Remove unnecessary parentheses.
Divide each term by and simplify.
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Divide each term in by .
Simplify .
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Simplify terms.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Apply the distributive property.
Simplify the expression.
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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.
Simplify and combine like terms.
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Simplify 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 .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Subtract from .
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.
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 .
Set the next factor equal to and solve.
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Set the next factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
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Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
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