Q. 54.1( 25 Votes )

If 2 is a zero of the polynomial p(x) = 2x2 - 3x + 7a, find the value of a.

Answer :

2 is the zeroes of the polynomial p(x) = 2x2 - 3x + 7a


p(2) = 0


Now,


p(x) = 2x2 - 3x + 7a


p(2) = 2(2)2 – 3(2)+ 7a


2 × 4– 3 × 2 + 7a = 0


8– 6 + 7a = 0


2 + 7a = 0


7a = -2



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