Question

If the sum of zeroes of polynomial kx2 +2x +3k is equal to their product, then

find the value of k.​

Answer 1

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Answer 2

Answer:

k = -2/3

Step-by-step explanation:

Let f(x) = kx² + 2x + 3k

Here a = k, b = 2 and c = 3k

Sum of zeroes, α + β = -b/a = -(2)/k = -2/k

Product of zeroes, αβ = c/a = 3k/k = 3

Given,

Sum of zeroes = Product of zeroes

-2/k = 3

k = -2/3

So, value of k = -2/3