Question

The number 4 is an upper bound for the set of roots of this polynomial function.
f(x)=3x^4-5x^3-5x^2+5x+2

Answer 1

because the sum of all co-efficients and constanta equal 0, so one of the solution is 1
it means (x-1) is one of the factor of f(x)=3x^4-5x^3-5x^2+5x+2 and then use synthetic division to find the other factors, and take the zeros to solve the roots of it