<prompt> Kwa polynomial Px 1-13x16x2, kuamua Qx PxPx3Px5Px7Px9_i050 a_ixi. Tafuta _i050.  <response>: Tuna polynomial: Px 1 - 13 x 16 x2 Tunaulizwa kufafanua Qx kama ifuatavyo: Qx Px3 Px5 Px7 Px9 _i050 a_i xi. Kazi yetu ni kupata jumla ya maadili kabisa ya coefficients ya polynomial hii: _i050. Tunaanza kwa kuzidisha sababu katika ufafanuzi wa Qx. Hii inatupa polynomial ambayo inahusisha kuchukua masharti kutoka kwa kila sababu, kuzidisha pamoja, na kukusanya maneno hasi. Tunagundua kwamba kama bidhaa ya masharti haya ina hata shahada, basi idadi ya masharti ya n-degree Q350 x, -135 x, nk Q5ni. Sasa, kwa usahihi zaidi, tunapaswa kutambua kwamba ikiwa tunachangia jumla ya coefficients ya n-degree, basi kwa njia ya kubadilishana, hii ni sawa na namba ya kipekee ya x_i 53 241 P2 53 x3 53 P3 53 x2 P3 P2 P2 P3 Q3 Q3 Q3 Q2 Q3 Q3 Q3 Q2 Q3 Q3 Q2 Q3 Q3 Q2 Q3 Q2 Q3 Q2 Q3 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q2 Q 