SOLUTION: f(x)=x^4+x^3-3x^2-7x-4 has one rational root. Find this root and then determine any other irrational roots. (rounded to three decimals) *I'd do this myself but I don't own a

Algebra ->  Rational-functions -> SOLUTION: f(x)=x^4+x^3-3x^2-7x-4 has one rational root. Find this root and then determine any other irrational roots. (rounded to three decimals) *I'd do this myself but I don't own a       Log On


   

Question 876350: f(x)=x^4+x^3-3x^2-7x-4 has one rational root.
Find this root and then determine any other irrational roots. (rounded to three decimals)
*I'd do this myself but I don't own a graphing calculator
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

x = -1 is a root (that one can do in one's head at least :)

Using synthetic divis1on

-1	1	1	-3	-7	-4

		-1	0	3	4

	1	0	-3	-4	0

       (x^3 - 3x - 4) (Using solver)



  x = -1,  2.196,  1.098+.785i, 1.098-.785i