If the sum of the zeroes of the quadratic polynomial f(t) = kt2 + 2t + – InterviewSolution

InterviewSolution

1.

If the sum of the zeroes of the quadratic polynomial f(t) = kt2 + 2t + 3k is equal to their product, then find the value of k.

Answer»

Given,

The quadratic polynomial f(t) = kt² + 2t + 3k, where a = k, b = 2 and c = 3k.

And,

Sum of the roots = Product of the roots

⇒ (-b/a) = (c/a)

⇒ (-2/k) = (3k/k)

⇒ (-2/k) = 3

∴ k = -2/3

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