Write the coefficients of $x^{2}$ in each of the following: <br/> <br/> (i) $2+x^{2}+x$ <br/> <br/>(ii) $2-x^{2}+x^{3}$ <br/> <br/>(iii) $\frac{\pi}{2} x^{2}+x$ <br/> <br/>(iv) $\sqrt{2} x-1$
Solution:
(i) $2+x^{2}+x$
In the above expression, the coefficient of $x^{2}$ is 1 .
(ii) $2-x^{2}+x^{3}$
In the above expression, the coefficient of $x^{2}$ is $-1$.
(iii) $\frac{\pi}{2} x^{2}+x$
In the above expression, the coefficient of $x^{2}$ is $\frac{\pi}{2}$.
(iv) $\sqrt{2} x-1$, or
$0 x^{2}+\sqrt{2} x-1$
In the above expression, the coefficient of $x^{2}$ is $0 .$
(i) $2+x^{2}+x$
In the above expression, the coefficient of $x^{2}$ is 1 .
(ii) $2-x^{2}+x^{3}$
In the above expression, the coefficient of $x^{2}$ is $-1$.
(iii) $\frac{\pi}{2} x^{2}+x$
In the above expression, the coefficient of $x^{2}$ is $\frac{\pi}{2}$.
(iv) $\sqrt{2} x-1$, or
$0 x^{2}+\sqrt{2} x-1$
In the above expression, the coefficient of $x^{2}$ is $0 .$
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