The answer is:
[tex]DegreeOfPolynomial=5[/tex]
The degree of the polynomial, is 5.
To find what's the degree of a polynomial, we just need to look for the greatest exponent in the expression.
We are given the polynomial:
[tex]x^4+2x^3-3x^5+4x-5x^2+6[/tex]
We have that the variable is the "x", and the greatest exponent of this variable is 5.
Hence, the answer is:
[tex]DegreeOfPolynomial=5[/tex]
Have a nice day!