**Finding zeros of a function means finding the x-coordinate where the graph intersects the x-axis. To find zeros of a function, set the value of y equal to zero, because when the graph intersects the x-axis, 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 x-coordinates of the zeros of the function. Remember, at the x-intercept, y is equal to zero.**

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

**B.) (6,0)**and

**D.) (-4,0)**represent zeros of the function.

**- Algebra House**