Which of the following plotted points on the graph represent the zeros of the function g(x)= (x^2-3x-10) (x+4)?
(-2,0)
(4,0)
(0,10)
(-4,0)
(0,-2)
(0,-10)
(5,0)

(x^2-3x-10)(x+4)  factor first parenthetical term

(x^2+2x-5x-10)(x+4)

(x(x+2)-5(x+2))(x+4)

(x-5)(x+2)(x+4), so the zeros occur when x={-2,-4,5} which are the points:

(-2,0),(-4,0), and (5,0)