remainder if ((5x+10)^2012)+ 4 divided by x+2
can anyone help me on this please
Theres a theorem that says that, the remainder of Any polynomial divded by a linear factor, $\displaystyle a_n x^n +...+a_0 $ divided by $\displaystyle x - a $ the remainder is f(a).
For example, $\displaystyle x^3 + x^2 + 3 $ divided by $\displaystyle x+ 3 = x - -3$, the remainder is $\displaystyle f(-3)= (-3)^3 + (-3)^2 + 3 = 21 $