Suppose that f is a polynomial and h is a polynomial of degree 5 or less such that
(x2+3x−3)⋅f(x)+h(x)=−6x6+72x4−50x3+13x2+38x−44
What is the degree of f?
please help...
If h is degree 5 or less the terms from adding it all have exponents 5 or less
f(x) is multiplied by a polynomial of degree 2
the right side has a term of degree 6 so f(x) must be of degree 4
example x^2 * f(x)
x^2 * x^4 = x^6