List the possible factors for: h(x)= 4x^4-5x^3+2x^2-x+5.

Homework problem, I'm stuck. Can someone show me how to do this and how they got the answer? Thank you.

Question

List the possible factors for: h(x)= 4x^4-5x^3+2x^2-x+5. 

Homework problem, I'm stuck. Can someone show me how to do this and how they got the answer? Thank you.

amistre64 · Answer

rational roots thrm comes to mind ...

amistre64 · Answer

if we divide off that leading 4, we get a last term of 5/4

the possible rational roots are all the possible combinations of:

      factors of 5
+-  ----------
      factors of 4

amistre64 · Answer

descartes sign rule would help to establish the number of possible +,-, and complex roots