What is the degree 5 coefficient of the polynomial p(x)= x^2 (x+1) (x+3x^3 + 4x^4)?
x^2 (x+1) (x+3x^3 + 4x^4)
= (x^3 + x^2) (x+3x^3 + 4x^4)
so where can the x^5 come from, so I will only do the calculations resulting in x^5
= .... (x^2)(3x^3) + ...
= .. + 3x^5 + ...