Let f(x)=x2+x−6 and g(x)=x−2 a) Find fg and simplify completely
To find fg, we need to multiply f(x) by g(x):
fg = f(x) * g(x)
fg = (x^2 + x - 6) * (x - 2)
fg = x^3 - 2x^2 + x^2 - 2x - 6x + 12
fg = x^3 - x^2 - 8x + 12
Therefore, fg = x^3 - x^2 - 8x + 12.