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A polynomial is $k x^{2} - 2 x + 3 k$ (with $k$ not equal to 0).
If the sum of its zeroes equals the product of its zeroes, find the value of $k$ .

Class 10Zeroes and CoefficientsAlgebra — Polynomials

A $\frac{2}{3}$
B $\frac{3}{2}$
C $- \frac{2}{3}$
D3

Step-by-Step Solution

Sum =

- \frac{b}{a} = \frac{2}{k}

. Product =

\frac{c}{a} = \frac{3 k}{k} = 3

. Setting sum = product:

\frac{2}{k} = 3

, so

k = \frac{2}{3}

.

Answer: A)

\frac{2}{3}

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