x2+x-(a+1)(a+2) কে উৎপাদকে বিশ্লেষণ করুন।

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

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

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

D (x+a+1)(x-a-2)

Solution

Correct Answer: Option C

x2 + x - (a + 1)(a + 2)

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

= x2 + x - p(p + 1)  [a+1=p ধরে ]

= x2 + x - p2 - p

= x2 - p2 + x - p

= (x + p)(x - p) + 1(x - p)

= (x - p)(x + p + 1)

= (x - a - 1)(x + a + 1 + 1)

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

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