SOLUTION: 1. Find all the zeros and write P(x) in factored form: 𝑃(𝑥)=𝑥3−125

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Question 1097736: 1. Find all the zeros and write P(x) in factored form:
𝑃(𝑥)=𝑥3−125

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29=x%5E3-125=%28x-5%29%28x%5E2%2B5x%2B25%29, which could check using multiplying to be sure...

One of the zeros is x=5. The other/s are in the quadratic factor.
%28-5%2B-+sqrt%2825-4%2A25%29%29%2F2

%28-5%2B-+5%2Asqrt%28-3%29%29%2F2

%28-5%2B-+i%2A5%2Asqrt%283%29%29%2F2--------the other two zeros. (Complex)