If f(x) is a polynomial of degree 3, and g(x) is a polynomial of degree 6, then what is the degree of polynomial 2f(x) + 4g(x)?
It will be degree 6 multiplying by a constant does not change the degree
example f(x) = x^2 + 2x + 2 is degree 2
then multiply by constant '3'
3 f(x) = 3 x^2 + 6x + 6 still degree 2