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Standard IX

Mathematics

Algebraic Identities

Write the coe...

Question

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

Coefficient of $x^{2}$ in $a x^{2} + b x + c = 0$ is $a$ .
Hence, coefficients of $x^{2}$ in
(i) $2 + x^{2} + x$ is $1$

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

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

(iv) $\sqrt{2} x - 1$ is $0$

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Q. Question 2
Write the coefficients of

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(i)

2 + x^{2} + x

(ii)

2 - x^{2} + x^{3}

(iii)

\frac{π}{2} x^{2} + x

(iv)

\sqrt{2 x} - 1

Q. Write the coefficients of

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2 + x^{2} + x

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2 - x^{2} + x^{3}

Q. Question 2
Write the coefficients of

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2 + x^{2} + x

(ii)

2 - x^{2} + x^{3}

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\frac{π}{2} x^{2} + x

(iv)

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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) $\frac{π}{2} x^{2} + x$
(4) $\sqrt{2} x - 1$

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Write the coefficients of x2 in each of the following:(i) 2+x2+x (ii) 2−x2+x3 (iii) π2x2+x (iv) √2x−1

Coefficient of x2 in ax2+bx+c=0 is a.Hence, coefficients of x2 in(i) 2+x2+x is 1(ii) 2−x2+x3 is −1(iii) π2x2+x is π2(iv) √2x−1 is 0

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) $\sqrt{2} x - 1$

Coefficient of $x^{2}$ in $a x^{2} + b x + c = 0$ is $a$ .
Hence, coefficients of $x^{2}$ in
(i) $2 + x^{2} + x$ is $1$

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

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

(iv) $\sqrt{2} x - 1$ is $0$