Question

What is the coefficient of x in the expression 2x + xy^2​

Answer 1

Given,

Expression $2x+xy^{2}$

To find,

Coefficient of x.

Solution,

We can find the solution to this problem by following the below process.

So, firstly we should know what a coefficient is. A coefficient is a multiplicative factor in a term or the terms of a polynomial, series, or expression. It can be a number or an alphabet that is multiplied by a variable of one or more than one term of a polynomial.

For example, in the expression,

$ax+by+cx^{2}$

The coefficient of x is a,

The coefficient of y is b, and,

For x², it is c.

Now, for the given expression, we see that there are two terms that contain x. These terms are,

$2x$ and $xy^{2}$.

So we have to find the coefficient of x for these two terms.

Hence, from the above definition of the cofficient, we find that,

For the term $2x$, the coefficient of x is 2.

Similarly, for the term $xy^{2}$, coefficient of x is 1.