Question

How do you find the degree of `4x+6xy-3x^4y+5`?

Answer 1

`"degree " 5`

Explanation:

The degree of a polynomial with 2 variables ( or more) is.

`color(red)" the sum of exponents with highest value"` for each term within the polynomial.

`4x^1to "degree1"`

`6x^1y^1to"degree 2 "`since (1 + 1 )=2

`3x^4y^1 to"degree 5"` since (4 + 1 ) =5

`5^0 to"degree 0"`

Thus the polynomial is degree 5.