Q. 54.1( 25 Votes )

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

Answer :

∵ 2 is the zeroes of the polynomial p(x) = 2x^{2} - 3x + 7a

∴ p(2) = 0

Now,

p(x) = 2x^{2} - 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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