Question

f(x) = 2x3 + 6x2 – 5x – 3 g(x) = 3x - 4 Find (f - g)(x).

Answer 1

$\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =(2x^3+6x^2-5x-3)-(3x-4) \\ =2x^3+6x^2+x(-5-3)+(-3+4) \\ =2x^3+6x^2-8x+1 \\ \text{ Thus} \\ \\ (f-g)(x)=2x^3+6x^2-8x+1 \end{gathered}$