Question

Which of the following plotted points on the graph represent the zeros of g(x)= (x^-3x-10)(x+4)

(-2,0)
(4,0)
(0,10)
(-4,0)
(0,-2)
(0,-10)
(5,0)

Answer 1

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

Explanation:

Answer 2

g(x) = (x² - 3x -10)(x + 4)
By factoring;
∴ g(x) = (x - 5)(x + 2)(x + 4)

To find zeros: ⇒⇒⇒ ∴ g(x) = 0
∴ (x - 5)(x + 2)(x + 4) = 0
∴ x = 5 OR x = -2 OR x = -4

∴ The points which represents the zeros of g(x) are:
(5,0) , (-2,0) , (-4,0)