Question

Is the given expression a polynomial?
$\frac{3}{7}{x}^2+4xy+2y^2$

• A. Yes
• B. No
• C. Can't be determined

Answer 1

The correct option is A Yes

$\frac{3}{7}{x}^2+4xy+2y^2$
$\Rightarrow \frac{3}{7}{x}^2+4x^1{y}^1+2y^2$

1. In the 1st term, $\frac{3}{7}{x}^2$, the unknown variable $x$ has an exponent of 2 which is a whole number.
2. The 2nd term $4xy$ has unknown variables $x$ and $y$ of exponents 1 and 1 respectively. These are whole numbers.
3. In the 3rd term $2y^2$, the unknown variable has an exponent of 2 which is a whole number.

$\therefore$ As exponent of all the unknown variables in the expression are whole numbers, the expression is a polynomial.