Question

For the expression $5x^3+6x^{2}y+9x{y}^2+10xy+6x-5y-4,$ answer the following.

In the term $9x{y}^2$, what are the numerical coefficient, the coefficient of $y^2$, and the coefficient of $xy$ ?

Answer 1

In $9x{y}^2$which can be written as $9\times x\times y\times y$ the numerical coefficient is $9$, the coefficient of $y^2$ is$9x$ and

coefficient of $xy$ is $9y$.

Hence, the numerical coefficient, the coefficient of $y^2$ and coefficient of $xy$ are $9$,$9x$ and $9y$ respectively.