Question

Find the degree of the polynomial $4y+7+\frac{x^{\frac{5}{2}}y}{x^{\frac{1}{2}}}+2x^2$.

• A. 1
• B. 2
• C. 3
• D. Not a polynomial

Answer 1

The correct option is C 3

$4y+7+\frac{x^{\frac{5}{2}}y}{x^{\frac{1}{2}}}+2x^2$
At first attempt, we see that exponents are in fractions but we need to simplify to check if it is polynomial or not.
When we simplify, we get
$4y+7+\frac{x^{\frac{5}{2}}y}{x^{\frac{1}{2}}}+2x^2$
$=4y+7+x^{\frac{5-1}{2}}y+2x^2$
$=4y+7+x^{2}y+2x^2$.
Here degree of polynomial is 3 which is obtained from 3rd term of the expression $4y+7+x^{2}y+2x^2$.