Determine the zeros of the function

Determine all zeros of the function f(x) = (x² − 5x − 14)(x + 6)

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"Zeros" of the function are the value(s) of x that make the value of y equal to zero.  Graphically, they are the x-intercepts of the graph. 

Set the y-value, f(x), equal to zero and solve for x.

(x² - 5x - 14)(x + 6) = 0  {set f(x) equal to zero}
(x - 7)(x + 2)(x + 6) = 0  {factored (x² - 5x - 14) into two binomials}
x - 7 = 0  or  x + 2 = 0  or  x + 6 = 0   {set each factor equal to zero}
x = 7  or  x = -2  or  x = -6  {solved each equation for x}

The zeros are 7, -2, and -6.

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