SOLUTION: Given f(x)=3x^4-11x^3+10x -4 A.Find the rational zeros then the other zeros B.Factor f(x) into linear factors I have done P/Q to get the potential rational solutions +- 1,

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Given f(x)=3x^4-11x^3+10x -4 A.Find the rational zeros then the other zeros B.Factor f(x) into linear factors I have done P/Q to get the potential rational solutions +- 1,      Log On


   

Question 1057587: Given f(x)=3x^4-11x^3+10x -4
A.Find the rational zeros then the other zeros
B.Factor f(x) into linear factors
I have done P/Q to get the potential rational solutions +- 1,2,4,(1/3),(2/3),(4/3)
I then plugged in 1 which didn't get me a 0 so i tried -1 and got a 0
I then did synthetic division but could not write the depressed equation, that where i got stuck. Any help would be appreciated
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Although not a full answer; the graph has one integer root and two other real roots. See a graph using Google Search Engine for your function as written. The integer root is -1. There are two positive real roots and they do not appear to be rational.

You may need one of the approximation methods for root-finding.