 # Given P(x)=x^{3}+5x^{2}+25x+125, find the zeros, real and non-real of P.Write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=. Daniaal Sanchez 2021-08-10 Answered

Given $P\left(x\right)={x}^{3}+5{x}^{2}+25x+125$, find the zeros, real and non-real of P.
The zeros are 5.
Write P in factored form (as a product of linear factors). Be sure to write the full equation, including $P\left(x\right)=$.

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Step 1
Given $P\left(x\right)={x}^{3}+5{x}^{2}+25x+125$
We have to write P in factored from
Step 2
given: $p\left(x\right)={x}^{3}+5{x}^{2}+25x+125$
$p\left(x\right)=\left({x}^{3}+5{x}^{2}\right)+\left(25x+125\right)$
$p\left(x\right)={x}^{2}\left(x+5\right)+25\left(x+5\right)$
$p\left(x\right)=\left({x}^{2}+25\right)\left(x+5\right)$