Final answer:
In the expression 4xyz, the lateral coefficient of x (or n if incorrectly stated) is yz, and of y is xz. The numerical coefficient for both x and y is 4.
Step-by-step explanation:
The student is asking about the lateral and numerical coefficients of the variables n and y in the algebraic expression 4xyz. In an algebraic expression, the numerical coefficient is the constant factor associated with the variables, and the lateral coefficient usually refers to the variable part of the term without the numerical coefficient.
For the variable n, which seems to be a typo since the variable n does not appear in 4xyz, we would instead consider the variable x. So, the numerical coefficient of x is 4, and the lateral coefficient, in this context, is yz. For the variable y, the numerical coefficient is also 4 (since it is the number multiplying the entire term), and the lateral coefficient is xz.