SOLUTION: Given p(x)=x^3+x^2+x+1. Write P(x) in factored form. Be sure to write the full equation including P(x)?

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Question 1136758: Given p(x)=x^3+x^2+x+1. Write P(x) in factored form. Be sure to write the full equation including P(x)?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
-1/1---1---1---1 synthetic division
1 0 1 0
(x+1)(x^2+1)=P(x)

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
Apply grouping as the factoring method:


x^3 + x^2 + x + 1 = (x^3 + x^2) + (x + 1) = x^2*(x+1) + (x+1) = (x+1)*(x^2+1).

Solved.

That's all.


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Regarding your writing, please learn, where and when to use the terms "equation" and "expression".

These terms are different, and correct using the terms is the first thing on how the specialists recognize a newcomer.