Answer:

माना F(x) = X³ - 23x² + 142x - 120

x-1 पर

F(1) = 1³ - 23 x 1² + 142 x 1 - 120

F(1) = 0

गुणनाखंड प्रमेय से,

इसलिए, F(x), (x-1) का गुणनाखंड है

x³-x²-22x²+22x+120x-120

x²(x-1) - 22x(x-1)+120(x-1)

(x-1)(x²-22x+120)

(x-1)(x²-12x-10x+120)

(x-1)(x(x-12)-10(x-12))

(x-1)(x-10)(x-12)