Find all real zeros of the function:
f(x)=2x^4+x^3-53x^2-14x+20 @Mathematics

Question

Find all real zeros of the function:
f(x)=2x^4+x^3-53x^2-14x+20     @Mathematics

hero · Answer

How did you do that?

anonymous · Answer

Do what? idk how to do it!!!

hero · Answer

You posted a single problem to three different groups

anonymous · Answer

under add more groups click all groups

hero · Answer

I see

anonymous · Answer

let f(x)=0. then guess and check:
$$x=1/2,5 \rightarrow f(x)=0$$ therefore $$f(x)=(2x-1)(x-5)(x^{2}+6x+4)$$then use quadratic formula:$$f(x)= (2x-1)(x-5)(x+sqrt{5}+3)(x+3-sqrt{5})$$

anonymous · Answer

I have to find the rational zeros, do u know how to do that?

anonymous · Answer

@alexmiles,

i checked your results on MATLAB... the roots are:
 -5.3095          
   5.0727          
  -0.1316 + 0.5950i
  -0.1316 - 0.5950i