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If the sum of the zeros of the quadratic polynomial f (x) = kx2 — 3x + 5 is 1, write the value of k.
Given,
The quadratic polynomial f(x) = kx2 – 3x + 5
Now,
Let two zeroes be a and 1 – a
∵ Sum of zeroes = 1 and also 1 – a ˃ 0 ⇒ a ˂ 1
Therefore;
Sum of the zeroes = 3/k
⇒ a + (1 – a) = 3/k
⇒ 1 = 3/k
⇒ k = 3