For what value of k, is 3 a zero of the polynomial 2x2 + x + k?


For what value of $k$, is 3 a zero of the polynomial $2 x^{2}+x+k ?$


We know that if $x=\alpha$ is zero polynomial, and then $x-\alpha$ is a factor of $f(x)$

Since 3 is zero of $f(x)$

Therefore $x-3$ is a factor of $f(x)$

Now, we divide $f(x)=2 x^{2}+x+k$ by $g(x)=x-3$ to find the value of $k$

Now, remainder $=0$



Hence, the value of $k$ is $-21$

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now