Question

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

Answer 1

`\boxed{\rm{2}}`

Explanation:

Given polynomial,

`10 {x}^(2) + 2 {x}^(m) y - 4y`

The degree of the polynomial is the highest power of any term of the polynomial. Here we know the powers of 10x² and 4y that are 2 and 1 respectively.

But given degree of the polynomial is 3. It means the degree of term 2x^my is 3.

Power of x is m and y is 1. Their sum should be 3, for the above statement to be true. So,

`m + 1 = 3`

`\rightarrow{\boxed{m = 2}}`

The value of m should be 2.