# How do you list all possible roots and find all factors and zeroes of #3x^4-10x^3-24x^2-6x+5#?

##### 1 Answer

Jul 14, 2016

#### Explanation:

Let

Sum of the coefficients = 0. So. -1 is a root of f(x) = 0.

Here also, the sum of the coefficients = 0.. So, -1 is a double root.

Now

In view of the the coefficient 3 of x^4 and the the constant being 5,

Comparing coefficients of x^3, a+6=-19. So,

Solving the quadratic

The list is