Question

What is the coefficient for the term whose variable is y2 in the expression

3xy2 + 2y − 4y2?

a. −4

b. 2

c. 3

d. 4

y2 means y to the second power

Answer 1

`3x {y}^(2) \: + \: 2y \: - \: 4 {y}^(2) \: = \: (3x \: - \: 4) {y}^(2) \: + \: 2y`
Hence, the coefficient of y² is (3x - 4)
and if the equation is,

`3 {x}^(2) y \: + \: 2y \: - \: 4 {y}^(2)`
or something else, the coefficient becomes
(–4).

Answer 2

a. −4

Explanation:

The coefficient is the number (along with the sign) in front of the term

We have two terms that have y^2 in them, but only one with just y^2

The number( remember to include the sign) in front of y^2 is -4