Write the coefficient of $x^{2}$ in the following expression:
$\sqrt{2} x^{2} + 5 x - 1$

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Solution

Given polynomial is $\sqrt{2} x^{2} + 5 x - 1$
A coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables.
As per definition $\sqrt{2}$ is the coefficient of $x^{2}$

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