Q5 of 86 Page 36

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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