ANSWER
The degree of the given polynomial is [tex]5[/tex]
EXPLANATION
The given polynomial is
[tex]p(x)=x^4+2x^3-3x^5+4x-5x^2+6[/tex]
When we write this polynomial in descending order, we get,
[tex]p(x)=-3x^5+x^4+2x^3-5x^2+4x+6[/tex]
The highest degree is 5.
Hence the degree is 5