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How do I factor x^3 - 9x^2 + 15x +4? Can someone explain in steps please?

 Jun 13, 2014

Best Answer 

 #1
avatar+130511 
+5

x^3 - 9x^2 + 15x +4

In general, there is no specific technique that might produce a solution.  There is a method that sometimes works, but it can be tedious.

The fastest way is to set this to 0  and use a "solver" to see if there are any roots...here's a graph of the roots:

 

Notice the roots.....the (approximate) factorization is  (x + .233) (x - 2.577)(x - 6.656).....

There's very little chance that you could ever "guess" this one !!!!!

In general....I'd let this one go.......

 

 Jun 13, 2014
 #1
avatar+130511 
+5
Best Answer

x^3 - 9x^2 + 15x +4

In general, there is no specific technique that might produce a solution.  There is a method that sometimes works, but it can be tedious.

The fastest way is to set this to 0  and use a "solver" to see if there are any roots...here's a graph of the roots:

 

Notice the roots.....the (approximate) factorization is  (x + .233) (x - 2.577)(x - 6.656).....

There's very little chance that you could ever "guess" this one !!!!!

In general....I'd let this one go.......

 

CPhill Jun 13, 2014
 #2
avatar+118723 
0

If you were factoring a polynomial that had integer roots, there are some good methods to help you find them.  But your one does not have integer roots so everything Chris said is correct.

 Jun 13, 2014

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