A polynomialf(x) satisfies the equationf(x)+(x+1)3=2f(x+1). Findf(10).

Printable View

- January 27th 2013, 05:36 AMgeniusgarvilneed help solving this function....
A polynomial

*f*(*x*) satisfies the equation*f*(*x*)+(*x*+1)3=2*f*(*x*+1). Find*f*(10). - January 27th 2013, 11:10 AMemakarovRe: need help solving this function....
Write as (you may also add or higher degrees), write the equation in terms of , ..., and equate the coefficients of the corresponding monomials. You'll get a system of four linear equations in , ..., .

- January 27th 2013, 07:58 PMearthboyRe: need help solving this function....
ok, emakarov has the idea...

try, but if you want to learn the full technique here it is (Hi)

__Spoiler__: