g(x)=2x3+x2−38x+35g(x) = 2x^3 + x^2 - 38x + 35g(x)=2x3+x2−38x+35
Use the factor theorem to show that (x+5)(x + 5)(x+5) is a factor of g(x)g(x)g(x).
Hence, show that g(x)g(x)g(x) can be written as the product of three linear factors.