SOLUTION: x^4-5x^2-36 Help me. How do you factorize this problem?

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Question 596272: x^4-5x^2-36
Help me. How do you factorize this problem?
Found 3 solutions by jim_thompson5910, Edwin McCravy, josmiceli:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


See Note at bottom











So completely factors to


Note: the numbers -9 and 4 multiply to -36 (the last number) and add to -5 (the second coefficient)
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
x4 - 5x² - 36

(x² - 9)(x² + 4)

(x - 3)(x + 3)(x² + 4)

Edwin
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Let

Complete the square






Take the square root of both sides




and, also




-------------
The factoring is

and, since


This can be further factored into
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