remainder if ((5x+10)^2012)+ 4 divided by x+2

can anyone help me on this please

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- December 22nd 2012, 06:08 AMrcstricky remainder of the polynomial
remainder if ((5x+10)^2012)+ 4 divided by x+2

can anyone help me on this please - December 22nd 2012, 07:23 AMjakncokeRe: tricky remainder of the polynomial
Theres a theorem that says that, the remainder of Any polynomial divded by a linear factor, divided by the remainder is f(a).

For example, divided by , the remainder is - December 22nd 2012, 07:37 AMrcsRe: tricky remainder of the polynomial
- December 22nd 2012, 07:41 AMILikeSerenaRe: tricky remainder of the polynomial
Did you know that (5x+10)=5(x+2)?

Can you rewrite ((5(x+2))^2012)+ 4? - December 22nd 2012, 07:46 AMrcsRe: tricky remainder of the polynomial
- December 22nd 2012, 08:06 AMjakncokeRe: tricky remainder of the polynomial
Yes remainder is 4.