Question

Solve the equation.

x^3 − 7x^2 + 12x = 0

X=
x=
x=

Answer 1

x(x-3)(x-4)

Answer 2

x^3 − 7x^2 + 12x = 0
x(x^2-7x+12)=0 factor gcf
x(x-3)(x-4)=0 factor trinomial (-3*-4=12; -3-4=-7)
x=0 or x-3=0 or x-4=0 zero-factor theorem
x=0 or x=3 or x=4 solve
{0, 3, 4} solution set