how to solve problem f(x) = x^4 - 34x^2 + 225

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1 Answer

f(x)
= x^4 - 34x^2 + 225
= x^4 - 25x^2 - 9x^2 + 225
= (x^4 - 25x^2) - (9x^2 - 225)
= (x^2)(x^2 - 25) - 9(x^2 - 25)
= (x^2 - 9)(x^2 - 25)
= (x + 3)(x - 3)(x + 5)(x - 5)
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