Algebra probleem (37)


Probleem

Bereken P(x) als P(x+1) - P(x) = x

Oplossing

f(x) = x2.............f(x+1) - f(x) = x2 + 2x + 1 - (x2) = 2x + 1
g(x) = x+1 ........g(x+1) - g(x) = x+2 - (x+1) = 1

Combineren:

P(x) = (x2 - (x+1))/2