Q11 of 109 Page 3

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


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