SOLUTION: factor g(x) into linear factors and solve g(x)=0 A)find the zeros B)factor the polynominal into binomial factors g(x)=x^4+3x^3-8x^2+2x+4

Algebra ->  Trigonometry-basics -> SOLUTION: factor g(x) into linear factors and solve g(x)=0 A)find the zeros B)factor the polynominal into binomial factors g(x)=x^4+3x^3-8x^2+2x+4      Log On


   

Question 1139792: factor g(x) into linear factors and solve g(x)=0
A)find the zeros
B)factor the polynominal into binomial factors

g(x)=x^4+3x^3-8x^2+2x+4
Answer by ikleyn(52806) About Me  (Show Source):
You can put this solution on YOUR website!
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The roots of the polynomial x4+3x3−8x2+2x+4 are:

x1=−0.5556
x2=−4.73943
x3=1.14752+0.44972∗i
x4=1.14752−0.44972∗i


This polynomial has no rational roots that can be found using Rational Root Test.


Roots were found using quartic formulas.

It means that your problem (as posted) can not be solved by traditional tools.