C-03-Q115mediumsingle_mcqFactorize 3x2−x−143x^2 - x - 143x2−x−14:a(3x−7)(x+2)(3x-7)(x+2)(3x−7)(x+2)b(3x+7)(x−2)(3x+7)(x-2)(3x+7)(x−2)c(3x−2)(x+7)(3x-2)(x+7)(3x−2)(x+7)d(3x−14)(x+1)(3x-14)(x+1)(3x−14)(x+1)ব্যাখ্যাFor 3x2−x−143x^2-x-143x2−x−14, split the middle term using factors of 3×(−14)=−423\times(-14)=-423×(−14)=−42 that sum to −1-1−1: namely −7-7−7 and +6+6+6. This gives 3x2−7x+6x−14=(3x−7)(x+2)3x^2-7x+6x-14=(3x-7)(x+2)3x2−7x+6x−14=(3x−7)(x+2).