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Polynomials

Question 2 Wr...

Question

Question 2
Write the coefficients of $x^{2}$ in each of the following:
(i) $2 + x^{2} + x$
(ii) $2 - x^{2} + x^{3}$
(iii) $\frac{π}{2} x^{2} + x$
(iv) $\sqrt{2 x} - 1$

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Solution

(i) In $2 + x^{2} + x,$ coefficient of $x^{2}$ is 1.

(ii) In $2 + x^{2} + x,$ coefficient of $x^{2}$ is - 1.

(iii) $\frac{π}{2} x^{2} + x$ , coefficient of $x^{2}$ is $\frac{π}{2}$ .

(iv) $\sqrt{2 x} - 1, x^{2}$ is not present. Hence, coefficient of $x^{2}$ is 0

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Write the coefficient of $x^{2}$ in each of the following?
(1) $2 + x^{2} + x$
(2) $2 - x^{2} + x^{3}$
(3) $\frac{π}{2} x^{2} + x$
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