If one zero of the quadratic polynomial
Question:

If one zero of the quadratic polynomial $k x^{2}+3 x+k$ is 2 then find the value of $k$.

 

Solution:

Given: x = 2 is one zero of the quadratic polynomial kx2 + 3x + k
Therefore, It will satisfy the above polynomial.
Now, we have

$k(2)^{2}+3(2)+k=0$

$\Rightarrow 4 k+6+k=0$

$\Rightarrow 5 k+6=0$

$\Rightarrow k=-\frac{6}{5}$

 

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