Answer:
(f - g)(x) = x^4 - x^3 - 4x^2 - 3
Step-by-step explanation:
Subtract g(x)=x^3 + 3x^2 + 12 from f(x)= x^4 - x^2 + 9
First, take the negative of every term (including the label g(x) ) of g(x), obtaining -g(x) = -x^3 - 3x^2 - 12.
Now combine this result with f(x):
f(x)= x^4 - 0x^3 - x^2 + 9
-g(x) = - 1x^3 - 3x^2 - 12
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(f - g)(x) = x^4 - x^3 - 4x^2 - 3
