If the product of zeros of the quadratic polynomial f(x) = x2 — 4x + k is 3, find the value of k.
Given,
Let the quadratic polynomial be f(x) = x2 – 4x + k
Product of the zeroes of the quadratic polynomial = 3
Now,
Product of the zeroes = constant term/coefficient of x2
⇒ 3 = k/1
∴ k = 3