SOLUTION: Factor the polynomial. if can not be factored write prime x squared +22x + 121

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Question 86020: Factor the polynomial. if can not be factored write prime
x squared +22x + 121
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E2%2B22x%2B121 Notice that the constant term (121) is a perfect square 121+=+11%5E2 which suggests the trinomial might, itself, be a perfect square.
Let's try:
x%5E2%2B22x%2B121+=+%28x%2B11%29%28x%2B11%29 You can check this using FOIL.
%28x%2B11%29%28x%2B11%29+=+x%5E2%2B11x%2B11x%2B121 Simplify.
%28x%2B11%29%5E2+=+x%5E2%2B22x%2B121
The factors are:
%28x%2B11%29%5E2