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

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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