C-03-Q149mediumsingle_mcqFactorize x3+4x2+x−6x^3 + 4x^2 + x - 6x3+4x2+x−6:a(x−1)(x+2)(x+3)(x-1)(x+2)(x+3)(x−1)(x+2)(x+3)b(x+1)(x−2)(x−3)(x+1)(x-2)(x-3)(x+1)(x−2)(x−3)c(x+1)(x+2)(x+3)(x+1)(x+2)(x+3)(x+1)(x+2)(x+3)d(x−1)(x−2)(x−3)(x-1)(x-2)(x-3)(x−1)(x−2)(x−3)ব্যাখ্যাTesting x=1x=1x=1 gives 1+4+1−6=01 + 4 + 1 - 6 = 01+4+1−6=0, so (x−1)(x-1)(x−1) is a factor. The other roots are x=−2x=-2x=−2 and x=−3x=-3x=−3, yielding (x−1)(x+2)(x+3)(x-1)(x+2)(x+3)(x−1)(x+2)(x+3).