If the sum of zeroes of the quadratic polynomial $3x^2–kx+6$ is $3$, then find the value of $k$.

Given: The sum of zeroes of the quadratic polynomial $3x^2–kx+6$ is $3$.

To do: To find the value of $k$.

Solution:

Given polynomial: $3x^2–kx+6$

The sum of the zeroes of the polynomial $3=-\frac{b}{a}$

$\Rightrarrow 3=-\frac{-k}{3}$

$\Rightarrow 3=\frac{k}{3}$

$\Rightarrow k=9$

Thus the value of $k=9$.

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Updated on: 10-Oct-2022

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