<prompt> Pata polynomial px, na coefficients halisi, kama vile p2 5 napx py px py pxy - 2kwa nambari zote halisi x na y.  <response>: Acha qx px - 1. Kisha px qx 1, hivyoqx 1qy 1 qx 1 qy 1 qxy 1 - 2.Kupanua, tunapataqxqy qx qy 1 qx qy qxy 1,hivyo qxy q xqy kwa nambari zote halisi x na y.Pia, q2 p2 - 1 4 22. Kishaanzaalignq22 q2 q2 22 cdoti 22 24, q23 q2 q22 22 cdoti 24 26, q24 q2 q23 22 cdoti 26 28,mwishoalignna kadhalika. Hivyo,q2n 22n 2n2kwa nambari zote chanya n.Kwa kuwa qx x2 kwa thamani nyingi sana za x, kwa Nadharia ya Utambulisho, qx x2 kwa x. zote Kwa hivyo, px q x 1 x2 1. 