Question

Identify terms which contain x and $y^2$, and give the coefficients of x and $y^2$.
(i) $13y^2-8yx$
(ii) $2x^{2}y-15x{y}^2+7y^2$

Answer 1

Answer:
(i) −8𝑦𝑥 is the term containing 𝑥 and $13y^2$ is the term containing $y^2$.
The coefficient of 𝑥 in −8𝑦𝑥 is −8𝑦.
The coefficient of $y^2$ in $13y^2$ is 13.

(ii) $2x^{2}y$ and $-15x{y}^2$ are the terms containing 𝑥 and $-15x{y}^2$ and $7y^2$ are the terms containing $y^2$.
The coefficient of 𝑥 in $2x^{2}y$ is 2𝑥𝑦.
The coefficient of 𝑥 in $-15x{y}^2$ is -15𝑦2.
The coefficient of $y^2$ in $-15x{y}^2$ is -15𝑥.
The coefficient of $y^2$ in 7$y^2$ is 7.