Find all roots: x^3 + 7x^2 + 12x = 0
show all work and check your answer.

Step-by-step explanation:

The given equation is

Factoring by x:

One of the root is x=0. Let's solve the parentheses.

Expanding the trinomial

Factoring

Factoring

This will give us the two remaining roots

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation:

the true ones are a b and d