Suppose that f is a polynomial and h is a polynomial of degree 5 or less such that

\((x^2+3x-3)\cdot f(x)+h(x)= -6x^6+72x^4 -50x^3 + 13x^2 +38x -44\)

What is the degree of f?

please help...

Guest Jul 26, 2020

edited by
Guest
Jul 26, 2020

#1**+1 **

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

ElectricPavlov Jul 26, 2020