Factoring Polynomial Expressions

Medium Advanced Math Polynomial Expressions

Consider the polynomial function $$f(x) = 2x^4 - 3x^3 + 5x^2 - x + 4$$.

Which of the following expressions correctly represents the polynomial $$f(x)$$ when factored out of the greatest common factor (GCF)?

$$f(x) = x^2(2x^2 - 3x + 5 - \frac{1}{x} + \frac{4}{x^2})$$

$$f(x) = (2x^4 + 5)(-3x^3 - x + 4)$$

$$f(x) = 1(2x^4 - 3x^3 + 5x^2 - x + 4)$$

$$f(x) = -1(2x^4 - 3x^3 + 5x^2 - x + 4)$$

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