If the product of zeros of the quadratic polynomial f(x) = x^{2} — 4x + k is 3, find the value of k.

Given,

Let the quadratic polynomial be f(x) = x^{2} – 4x + k

Product of the zeroes of the quadratic polynomial = 3

Now,

Product of the zeroes = constant term/coefficient of x^{2}

⇒ 3 = k/1

∴ k = 3

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