SOLUTION: Write a linear factorization of the function. f(x) = x^4 + 49x^2

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Question 1100968: Write a linear factorization of the function.
f(x) = x^4 + 49x^2
Found 2 solutions by KMST, josgarithmetic:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2 is a factor common to both terms, so
x%5E4+%2B+49x%5E2=x%5E2%28x%5E2+%2B+49%29
The factor x%5E2%2B49 cannot be further factored with real numbers,
because x%5E2%2B49 is not zero for any reaal number value of x .
If you were allowed to use imaginary (complex) numbers,
you could further factor x%5E2%2B49=%28x-7i%29%28x%2B7i%29

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%28x%5E2%2B49%29

If you look at the quadratic factor x%5E2%2B49=0
x%5E2=-49
x=0%2B-+sqrt%28-49%29
x=0%2B-+7i


x%5E2%28x%5E2%2B49%29
highlight%28x%5E2%28x-7i%29%28x%2B7i%29%29