Finding Zeros of a Function

What are the zeros of x(x² + 4x - 12) ?  
Indicate all zeros.
A.)  -12       
B.)  -6
C.)  -3
D.)  -2
E.)  0
F.)  2
G.)  6
H.)  12

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To find zeros, set the polynomial equal to zero.  Zeros of a polynomial function,
such as f(x) = x(x² + 4x - 12), indicate the x-intercepts of the function.  
At the x-intercept, y is equal to zero.  Remember, f(x) is the y value.

x(x² + 4x - 12) = 0   {set the polynomial equal to zero}
x(x + 6)(x - 2) = 0   {factored the trinomial, in parentheses, into two binomials}
x = 0   or   x + 6 = 0   or   x - 2 = 0   {set each factor equal to zero}
x = 0   or   x = -6   or   x = 2   {solved each equation for x}

B.)  -6,  E.) 0,  and  F.)  2

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