Question

Identify terms which contain $y^2$ and give the coefficient of $y^2$.
(i) $8-x{y}^2$
(ii) $2x^{2}y-15x{y}^2+7y^2$
[2 marks]

Answer 1

(i) $8-x{y}^2$

Here, $-x{y}^2$ is the term containing $y^2$.

The coefficient of $y^2$ is the product of the factors of $-x{y}^2$ other than $y^2$.

Therefore, the coefficient of $y^2$ in $-x{y}^2$ is $-x$.
[1 mark]


(ii) $2x^{2}y-15x{y}^2+7y^2$

Here, $-15x{y}^2$ and $7y^2$ are the terms containing $y^2$.

The coefficient of $y^2$ in $-15x{y}^2$ is $-15x$.

The coefficient of $y^2$ in $7y^2$ is 7.
[1 mark]