Question

Write down the coefficient of $x$ in the following :

$-3x^{2}y$

Answer 1

Finding the coefficient of $x$ :

A coefficient of a term is the constant and variable which are multiplied to the term.

Here, $-3x^{2}y$ can be written as

$$\begin{gathered} -3x^{2}y=-3\times x\times x\times y \\ =-3\times y\times x\times x \\ =-3yx\times x \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{} \end{gathered}$$

Since, $-3xy$is multiplied to $x$

Hence , the coefficient of $x$ is $-3xy$