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)

Solution

Correct Answer: Option C

 

ব্যাখ্যাঃ x  – 7x – 6

=x3+x2-x2-x-6x-6

= x2(x+1)-x(x+1)–6(x+1) =(x+1)(x-x-6)

= (x+1)(x2-x-6)

=(x+1)(x2-3x+2x-6)

=(x+1)(x-3x+2x-6)

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

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

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

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