Several points are plotted on the graph.

Which of the plotted points on the graph represent the zeros

of the function f(x) = (x² + 2x - 8)(x - 6)? Select

A.) (2,0) B.) (6,0) C.) (0,-8) D.) (-4,0)

E.) (-6,0) F.) (0,2) G.) (0,8)

Which of the plotted points on the graph represent the zeros

of the function f(x) = (x² + 2x - 8)(x - 6)? Select

**all**that apply.A.) (2,0) B.) (6,0) C.) (0,-8) D.) (-4,0)

E.) (-6,0) F.) (0,2) G.) (0,8)

To find the x-intercepts, set y equal to 0.

f(x) = (x² + 2x - 8)(x - 6)

0 = (x + 4)(x - 2)(x - 6) {factored the quadratic trinomial into two binomials}

x + 4 = 0 or x - 2 = 0 or x - 6 = 0 {set each factor equal to 0}

x = -4 or x = 2 or x = 6 {solved each equation for x}

Zeros are (-4,0) , (2,0), and (6,0) {at the x-intercept, y is 0}

**A.) (2,0)**

B.) (6,0)

C.) (-4,0)

B.) (6,0)

C.) (-4,0)

*- Algebra House*