If F(x) = X4 − X3 + X2 And G(x) - Cuemath

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We will use the concept of functions to solve this.

Answer: If f(x) = x^{4} − x^{3} + x^{2} and g(x) = −x^{2}, then (f/g)(x) = x − x^{2} − 1

Let's solve this step by step.

Explanation:

Given that, f(x) = x4 − x3 + x2 and g(x) = −x2

We know from function that: (f/g)(x) = f(x) / g(x)

(f/g)(x) = (x4 − x3 + x2) / (−x2)

= x2(x2 − x + 1) / (−x2)

= -(x2 − x + 1)

= x − x2 − 1

Hence, If f(x) = x4 − x3 + x2 and g(x) = −x2, then (f/g)(x) = x − x2 − 1

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