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