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y=x^3+4x-5

 Aug 26, 2020
 #1
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What would you like? A factored form? I'm guessing factor, since that is what you can do:

 

To begin, we can use the RRT (rational root theorem) to get a root: https://en.wikipedia.org/wiki/Rational_root_theorem


We see that 1 is the only possible root. 
 

From here, we see that one factor is (x - 1)

 

Divide x^3 + 4x - 5 by x - 1.


         x^2 + x + 5

         -----------------------------------

x - 1  |  x^3 + 4x - 5

 

Therefore, the factored form is (x - 1)(x^2 + x + 5)

 

:)

 Aug 26, 2020

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