Q. 34.1( 16 Votes )

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

Answer :

We have,

f (x) = 2x2 – 3x + 7a


Put x = 2


f (2) = 2 (2)2 – 3 (2) + 7a


= 2 * 4 – 6 + 7a


= 8 – 6 + 7a


= 2 + 7a


Given, x = 2 is a root of f (x) = 2x2 – 3x + 7a


f (2) = 0


Therefore, 2 + 7a = 0


7a = -2


a =


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