Which of the following represents the factored form of f(x) = x3 − 81x?
2 answers:
F(x) = x^3 - 81x
f(x) = x(x^2) + x(81)
f(x) = x(x^2 - 81)
f(x) = x(x^2 + 9x - 9x - 81)
f(x) = x(x(x) + x(9) - 9(x) - 9(9))
f(x) = x(x(x + 9) - 9(x + 9))
f(x) = x(x - 9)(x + 9)
The answer is C.
You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...
f(x) = x(x + 9)(x - 9)
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