Use the factor theorem to show that (x+2) is a factor of g(x)= 4x^3 - 12x^2 - 15x + 50

To prove (x+2) is a factor, the value of x that makes x+2 equal 0 must be substituted into the function g(x) also making g(x)=0. In this case, the value of x being -2 makes x+2 equal to 0 and when substituted into g(x) results in 0. Therefore, (x+2) is a factor of g(x).4(-2)³ - 12(-2)² - 15(-2) + 50 = -32 - 48 + 30 +50 = 0