If −4 is a zero of the quadratic polynomial

Question:

If $-4$ is a zero of the quadratic polynomial $x^{2}-x-(2 k+2)$ then find the value of $k$

 

Solution:

Given: x = −4 is one zero of the polynomial x2 − x −(2+ 2)
Therefore, It will satisfy the above polynomial.
Now, we have

$(-4)^{2}-(-4)-(2 k+2)=0$

$\Rightarrow 16+4-2 k-2=0$

$\Rightarrow-2 k=-18$

$\Rightarrow k=9$

 

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