Determine all zeros of the function f(x) = (x² − 5x − 14)(x + 6)
"Zeros" of the function are the value(s) of x that make the value of y equal to zero. Graphically, they are the xintercepts of the graph.
Set the yvalue, 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. Ask Algebra House
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