Using a given zero to write a polynomial as a product of linear factors

label Algebra
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For the polynomial below, -1 is a zero. 

h(x) = x^3 + 5x^2 + 5x + 1

Express h(x) as a product of linear factors.

Oct 16th, 2015

Thank you for the opportunity to help you with your question!

h(x)=(x+1)(x^2+4x+1)                   by long division

but x^2+4x+1 have rational roots

x^2+4x+1=(x+3.73)(x+0.26)


therefore, h(x)=(x+1)(x+3.73)(x+0.26)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 16th, 2015

Can you write it using fractions instead of decimals? 

Oct 16th, 2015

actually fraction version this real numbers are large. 

Oct 16th, 2015

but approximately you can use 13/15 for 0.26

and 373/100 for 3.73  

Oct 16th, 2015

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