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(x)=x3+5x2+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(x)=.

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Expert Answer

crocolylec
Answered 2021-08-11 Author has 100 answers
Step 1
Given P(x)=x3+5x2+25x+125
We have to write P in factored from
Step 2
given: p(x)=x3+5x2+25x+125
p(x)=(x3+5x2)+(25x+125)
p(x)=x2(x+5)+25(x+5)
p(x)=(x2+25)(x+5)
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