Question

Which of the following polynomials is/are a polynomial in two variables?

• A. $3x$ + $y$
• B. $3x^2$ + $2x$
• C. $3xy$ + $y^2$
• D. $y^2$ + $2y$ + 1

Answer 1

Answer: (A), (C)

The correct options are
A $3x$ + $y$
C $3xy$ + $y^2$

$3x$ + $y$ contains two variables; $x$ and $y$ in its expression

$3x^2$ + $2x$ contains only one variable i.e $x$ in its expression.

$3xy$ + $y^2$ contains two variables $x$ and $y$ in its expression

$y^2$ + $2y$ + 1 contains only one variable i.e $y$ in its expression.

$\therefore$ $3xy$ + $y^2$ and $3x$ + $y$ are the required answers