Question

The degree of the polynomial 10x^(2)+2x^(m)y-4y is 3. What is the value of m?

Answer 1

If the polynomial degree is 3, then the largest power with the variable(s) is 3.

We have:

$10x^2+2x^my-4y\\\Downarrow\\10x^2-2nd\ degree\\\\2x^my-(m+1)th\ degree\\\\-4y-1st\ degree$

Therefore m +1 = 3 → m = 2

Answer: 2