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 x-intercepts (where the graph hits the x-axis. Also, where the value of y is equal to zero.
f(x) represents the y-value, 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 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} x = -4 or x = 2 or x = 6 {solved each equation for x} zeros of the function would be the x-intercepts 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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