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.

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)

Can you write it using fractions instead of decimals?

actually fraction version this real numbers are large.

but approximately you can use 13/15 for 0.26

and 373/100 for 3.73

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