<prompt> Acha gx x2 - 11x 30. Pata polinomia fx, yenye mgawo chanya inayoongoza, inayotoshelezagfx x4 - 14x3 62x2 - 91x 42.  <response>: Ni wazi, fx lazima iwe mara nne. Hebu fx ax2 bx c. Kishaanzaaligngfx gshoka2 bx c shoka2 bx c2 - 11shoka2 bx c 30 a2 x4 2abx3 2ac b2 - 11a x2 2bc - 11b x c2 - 11c 30 x4 - 14x3 62x2 - 91x 42.endalignTunapata kulingana na mgawoanzaaligna2 1, 2ab -14, 2ac b2 - 11a 62, 2bc - 11b -91, c2 - 11c 30 42.endalignKwa kuwa mgawo unaoongoza a ni chanya, a 1. Kisha 2b -14, hivyo b -7. Kutoka mlinganyo wa nne,-14c 77 -91,hivyo c 12. Tunaweza kuthibitisha kwamba milinganyo yote imeridhika, kwa hivyo fx x2 - 7x 12. 