If 3 is a zero of the polynomial

Question:

If 3 is a zero of the polynomial $2 x^{2}+x+k$, find the value of $k$.

 

Solution:

Given: x = 3 is one zero of the polynomial 2x2 + x + k
Therefore, It will satisfy the above polynomial.
Now, we have

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

$\Rightarrow 21+k=0$

$\Rightarrow k=-21$

 

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