SOLUTION: How do I factor this to get all the x's? {{{x^3 -5x^2 + 7x -3}}} I tried long division and grouping, neither worked.

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Question 904633: How do I factor this to get all the x's?

I tried long division and grouping, neither worked.

Found 2 solutions by MathLover1, jim_thompson5910:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

...write as and as
...group





...in write as






or, you can put it this way



Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
If you graph , you get



The graph has the x-intercepts of and

Since the graph touches the x axis at and doesn't pass through it, this means we have a root with multiplicity of 2 here.

So the factorization is

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