Question

The coefficient of xy in the product of (4x2 + 2y) and (3x + y2) is

Answer 1

(4x² + 2y)(3x + y²) =  

12x³ + 4x²y² + 6xy + 2y³

The coefficient of xy is 6

Answer 2

In polynomials, when a term contains both a number and a variable part, the number is called the co-efficient. 
In this problem the co-efficient of x = 
(8+y)+(3x+y2)
3y+3x+8
Therefore the co efficient of x and y is 3