# How many real and complex roots does #3x^4+4x^3+x-1 = 0# have?

##### 1 Answer

Jul 6, 2016

It has one positive Real root, one negative Real root and a Complex conjugate pair of non-Real roots.

#### Explanation:

Use Descartes' Rule of Signs.

The signs of the coefficients of

The signs of the coefficients of

Using the Fundamental Theorem of Algebra we know that