What are points on the graph that represent zeros of the function?
f(x) = (x² + 2x − 8) (x − 6)
Zeros of a function are the xintercepts (where the graph hits the xaxis. Also, where the value of y is equal to zero.
f(x) represents the yvalue, so set it equal to zero and solve for x. f(x) = (x² + 2x  8)(x  6) (x² + 2x  8)(x  6) = 0 {set f(x), the yvalue, 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} x = 4 or x = 2 or x = 6 {solved each equation for x} zeros of the function would be the xintercepts of 4, 2, and 6 The points on the graph would be (4,0) , (2,0), and (6,0) Ask Algebra House
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