When the expression (2x^4+3x^3+x-14)(3x^{10}-9x^7+9x^4+30)-(x^2+5)^8 is expanded, what is the degree of the resulting polynomial?
Just look at the hoghest powers
2x^4 * 3x^10 = 6x^14
6x^14 ..... - x^16 .....
Highest power of x will be 16 The leading term will be -x^16
the degree is 16
