Finding zeros of a function means finding the xcoordinate where the graph intersects the xaxis. To find zeros of a function, set the value of y equal to zero, because when the graph intersects the xaxis, y is equal to zero.
f(x) = (x² + 2x  8)(x  6) (x² + 2x  8)(x  6) = 0 {set f(x), which is the y value, equal to zero} (x + 4)(x  2)(x  6) = 0 {factored the trinomial into two binomials} x + 4 = 0 or x  2 = 0 or x  6 = 0 {set each factor equal to zero, since they all multiply together to equal zero} x = 4 or x = 2 or x = 6 {solved each equation for x} These are the xcoordinates of the zeros of the function. Remember, at the xintercept, y is equal to zero. A.) (2,0) and B.) (6,0) and D.) (4,0) represent zeros of the function. Ask Algebra House Comments are closed.

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