If f(x) = 2x^5 - x^4 + x^2 - 3, and g(x) is a polynomial such that the degree of f(x) + g(x) is 3, then what is the degree of g(x)?
Note that if we let g(x) be - 2x^5 + x^4 + ax^3
Then....adding f(x) + g(x) we get
ax^3 + x^2 - 3 = degree 3
So
g(x) must also be degree 5
Thanks!!!