(A) $(i)$ In the expression $\frac{\pi}{2} x^2 + x$,the term containing $x^2$ is $\frac{\pi}{2} x^2$. Therefore,the coefficient of $x^2$ is $\frac{\pi

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(A) $(i)$ In the expression $\frac{\pi}{2} x^2 + x$,the term containing $x^2$ is $\frac{\pi}{2} x^2$. Therefore,the coefficient of $x^2$ is $\frac{\pi}{2}$.$(ii)$ In the expression $\sqrt{2} x - 1$,there is no $x^2$ term. We can write this expression as $\sqrt{2} x - 1 + 0 \cdot x^2$. Therefore,the coefficient of $x^2$ is $0$.

Class 9 Mathematics Polynomials Polynomials in One Variable

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

A
$\frac{\pi}{2}$ and $0$
B
$\pi$ and $0$
C
$2$ and $0$
D
$\frac{\pi}{2}$ and $\pi$

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

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Find $p(1)$,$p(2)$,and $p(4)$ for the following polynomial: $p(t) = t^{2} - 6t + 8$.

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Classify the following as a constant,linear,quadratic,or cubic polynomial:$5t - \sqrt{7}$

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

State whether the following statement is True or False. Justify your answer.
Every polynomial is a binomial.

Classify the following as a constant,linear,quadratic,or cubic polynomial:
$5t - \sqrt{7}$

State whether the following statement is true or false:
The degree of the polynomial $5x^{2} - 7x + 2$ is $5$.