X3 - 7x - 6 এর উৎপাদক কত?

X³ - 7x - 6 এর উৎপাদক কত?

A (x + 1)(x - 2)(x-3)

B (x-1)(x +2)(x-3)

C (x+1)(x + 2)(x-3)

D (x-1)(x-2)(x-3)

Correct Answer: Option C

X³ - 7x - 6
= x³+x²-x²-x-6x-6

= x²(x+1)-x(x+1)–6(x+1)

= (x+1)(x²-x-6)

= (x+1)(x²-3x+2x-6)

= (x+1){x(x-3)+2(x-3)}

= (x+1){(x-3)(x+2)} -

= (x+1)(x+2)(x-3)