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Q.

If N is the numerical value of term independent of x in the expansion of 2x2-3x15 ,  then number of prime factors of N is

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answer is 5.

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Detailed Solution

The term independent of x, r=npp+q=303=1011 th term is term independent of xhence, N=15C10t25⋅310=15⋅14⋅13⋅12⋅115⋅4⋅3⋅2⋅4⋅25⋅310=25⋅311⋅7⋅11⋅13The number of prime factors of N are 5
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