polinomio.

[el mendigo]

dado el polinomio:

P(2x - 3) = (2x+3)^(4m) + 2(12x - 6)^(2m) + (2x+1)^(2m).

calcular "m" si su termino independiente es igual a 1600

[Antonio González]

Post by el mendigo
P(2x - 3) = (2x+3)^(4m) + 2(12x - 6)^(2m) + (2x+1)^(2m).
calcular "m" si su termino independiente es igual a 1600

1600 = P(0) = P(x=3/2) = 6^(4m) + 2(12)^(2m) + 4^(2m) =

= 2^(4m)(3^(4m) + 2 3^(2m) + 1) =

= 2^(4m)(3^(2m)+1)^2

40 = 2^(2m)(3^(2m)+1)

de donde

m = 1