Rewrite the given rational expression in simplest form
x^4 + 4x^3 -3x^2/x^2
A. x^3 + 4x^2 - 3x
B. x^2 + 4x
C. x^2 + 4x - 3
D. x^2 + x
The given rational expression is:
(x^4 + 4x^3 - 3x^2) / x^2
To simplify this expression, you can factor out an x^2 from the numerator:
(x^2 * (x^2 + 4x - 3)) / x^2
Now, the x^2 terms in the numerator and denominator cancel out:
(x^2 + 4x - 3) / 1
Therefore, the simplified form of the rational expression is:
x^2 + 4x - 3
So, the correct answer is C. x^2 + 4x - 3.