SOLUTION: Can you help me with this problem? I would really appreciate it. Factor the polynomial: {{{x ^ 2 - 5.}}} Felicia

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you help me with this problem? I would really appreciate it. Factor the polynomial: {{{x ^ 2 - 5.}}} Felicia      Log On


   

Question 164476This question is from textbook College Algebra
: Can you help me with this problem? I would really appreciate it.
Factor the polynomial: x++%5E+2+-+5.


Felicia This question is from textbook College Algebra

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial: x++%5E+2+-+5.
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This is not factorable with integers.
It's %28x+%2B+sqrt%285%29%29%2A%28x+-+sqrt%285%29%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-+5
Find the roots of the equation
x%5E2+-+5+=+0
x%5E2+=+5
x+=+sqrt%285%29
x+=+-sqrt%285%29
The factors are
%28x+%2B+sqrt%285%29%29%28x+-+sqrt%285%29%29+=+x%5E2+-+5%29