Answer:
Step-by-step explanation:
The simplest way is to just plug the equation into a plotting calculator and see where the plot crosses the x axis.
x = -3, -2, ⅓, 4
so factors are
f(x) = a(x + 3)(x + 2)(x - ⅓)(x - 4)
multiplying the terms in parentheses together shows the coefficient of x⁴ is 1 so a = 3
f(x) = 3(x + 3)(x + 2)(x - ⅓)(x - 4)
actually factoring a 4th degree polynomial is a royal pain in the rear.
