SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = x^4 + 13x^2 + 36

Algebra ->  Linear-equations -> SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = x^4 + 13x^2 + 36      Log On


   



Question 824419: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x) = x^4 + 13x^2 + 36

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all zeros of the function and write the polynomial as a product of linear factors.
f(x) = x^4 + 13x^2 + 36
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Sub for x^2, eg u, then it's a quadratic
u%5E2+%2B+13u+%2B+36+=+0
Solve for u.
Sub x^2 for u.
Solve for x (4 solutions).