Question 192646
Find all the zeros of:
{{{f(x) = 12x^3+14x^2-6x}}} First, set the function equal to zero.
{{{12x^3+14x^2-6x = 0}}} Now factor 2x from the trinomial.
{{{2x(6x^2+7x-3) = 0}}} Factor the trinomial.
{{{2x(2x+3)(3x-1) = 0}}} Now apply the zero product rule.
{{{2x = 0}}} or {{{2x+3 = 0}}} or {{{3x-1 = 0}}} From which we get:
{{{highlight(x = 0)}}}
{{{highlight(x = -3/2)}}}
{{{highlight(x = 1/3)}}}