Question

Write the coefficient of $x^2$ in the given expression: $y+y^{2}x+y^3{x}^2+y^4{x}^3$.

Answer 1

Coefficient of terms in the polynomials:

The coefficient of polynomials is the number multiplied to the variable.

In the expression, $a{x}^3+b{x}^2+cx+d$,

$a$ is the coefficient of $x^3$.

$b$ is the coefficient of $x^2$.

$c$ is the coefficient of $x$.

$d$ is the coefficient of $x^0$.

The given expression is, $y+y^{2}x+y^3{x}^2+y^4{x}^3$

Here, the coefficient of $x^2$is $y^3$.

Hence, the coefficient of $x^2$is $y^3$.