The correct option is A 14
The highest exponent of a variable in a polynomial is called the degree of the polynomial.
Here, the given polynomial is
16x6+5(x2)7+12x−33x8+42.
We can write 16x6+5(x2)7+12x−33x8+42=16x6+5x14+12x−33x8+42
Here, the highest exponent of x is 14.
Hence the degree of the given polynomial is 14.