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?
+128406 (2x^4+3x^3+x-14)(3x^{10}-9x^7+9x^4+30)-(x^2+5)^8
We only need to see that the highest degree polynomial resulting from the multiplication of the first two polynomials is 2x^4 * 3x^10 = 6x^14 = 14 th degree
The highest degree of the last poltnomial is - (x^2)^8 = -x^16 = 16
So....the degree of the resulting polynomial is 16
