Question

Factor f(x)= x^4 - x^3 -7x^2+13x-6 completely. Use the Fundamental Theorem of Algebra fo determine the number of complex roots. ________

Possible rational roots are: _________

Since a is ______ and n is ______, the graph will go to ______ as x approaches ∞ , and _____ as x approaches - ∞ .

The y intercept is ______
The x intercepts are:____

Describe the multiplicity if each root: _____________


Use synthetic Division to check each possible root:________

You dont have to do all of them!!! BUT PLZ SHOW ME HOW TO SOLVE THIS!!!!! I am having a really hard time trying to get an answer for this, and cant find much online to guide me. Thank you!!!!

Answer 1

Number of complex roots: 4 ( highest exponent is 4)
Possible rational roots: +-1, +-2, +-3, +-6
Y intercept: -6
X intercepts: -3, 1, 2

Sorry on the missing ones. I don't know those.