Question

What are the zeros of the polynomial function: f(x) = x^3 + x^2 – 6x ?

Answer 1

x^3+x^2-6x = 0 Factor out x
x(x^2+x-6)=0 Factor the quadratic trinomial
x((x+3)(x-2) = 0 Set all factors to 0 and solve
x = 0, x+3=0 x-2=0
x=0,x=-3,x=2