If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?

The value of (f/g)(x) is determined by dividing the polynomial f(x) by the polynomial g(x) which is only equal to -x2. If we divide the first term of f(x), x4, with -x2, we arrived with an answer of -x2. For the second term, we arrive with the answer x. Similarly for the third term, we derive with an answer that is -1. Combining all the answers, we have -x2 + x - 1.