Question

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)
(0,–6)
(6,0)
(–6,0)

Answer 1

(- 6, 0 )

Explanation:

to find the x- intercept/s let y = 0, that is

(x + 6)(x - 3) = 0

equate each factor to zero and solve for x

x + 6 = 0 ( subtract 6 from both sides )

x = - 6

x - 3 = 0 ( add 3 to both sides )

x = 3

there are 2 x- intercepts

the required one is (- 6, 0 )