Factoring Polynomials of Any Degree: Can Complex Numbers Help?

[mairzydoats]

Can any polynomial in any degree of x be factored into a product of the form

(leading coefficient)(x-a)(x-b) ... (x-z)

as long as we can use complex numbers for a,b, etc.?

Thanks

 

[jbriggs444]

Yes. That is one way of stating the fundamental theorem of algebra.