SOLUTION: i need help finding all the real zeros of the polynomoal function. Use the zeros to factor f over the real numbers. f(x) = 25x^4+76x^3+178x^2+532x+21

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need help finding all the real zeros of the polynomoal function. Use the zeros to factor f over the real numbers. f(x) = 25x^4+76x^3+178x^2+532x+21      Log On


   

Question 891387: i need help finding all the real zeros of the polynomoal function. Use the zeros to factor f over the real numbers.
f(x) = 25x^4+76x^3+178x^2+532x+21
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p from {1,3,7,21};
q from {1,5,25}.
There are maybe ten different possible rational roots to check. The roots are most likely all negative. I would use some software program to check each root because of not knowing if all the roots are integers. Otherwise, the synthetic division work can become very lengthy of a process.