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) $\sqrt{2} x - 1$

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

(i) Coefficient of $x^{2}$ is the numerical value multiplied by $x^{2}$ in the given polynomial:

$2 + x^{2} + x = 2 + (1) x^{2} + x$

Here, coefficient of $x^{2}$ is 1.

(ii) Coefficient of $x^{2}$ is the numerical value multiplied by $x^{2}$ in the given polynomial:

$2 - x^{2} + x^{3} = 2 - (1) x^{2} + x^{3}$

Here, coefficient of $x^{2}$ is -1.

(iii) Coefficient of $x^{2}$ is the numerical value multiplied by $x^{2}$ in the given polynomial:

$\frac{π}{2} x^{2} + x = (\frac{π}{2}) x^{2} + x$

Here, coefficient of $x^{2}$ is $\frac{π}{2}$ .

(iv) Coefficient of $x^{2}$ is the numerical value multiplied by $x^{2}$ in the given polynomial:

$\sqrt{2} x - 1 = (0) x^{2} + \sqrt{2} x - 1$

Here, coefficient of $x^{2}$ is 0.

Watch 3-min video & get full concept clarity