Given polynomial is 3x2+5x−7x−7x6+3, which can written in descending powers of variable x as
−7x6+3x2−2x+3.
Since the degree of a polynomial is highest power of variable in that polynomial.
It is obvious to say that term −7x6 contains the highest power of x which is 6.
Hence degree of −7x6+3x2−2x+3 is 6