Suppose that f is a polynomial and h is a polynomial of degree 5 or less such that
(2x + 3) f(x)+h(x)= -6x^6+72x^4 -50x^3 + 13x^2 +38x -44
What is the degree of f?
f must be degree 5 .......multiplying it by (2x + 3) gives a polynomial of the 6th degree
And since the highest degree of g is 5, then adding g to (2x + 3)f(x) produces a 6th degree polynomial
