The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. where will the function cross the x-axis?

(–6, 0) and (–4, 0)
(–2, 0) and (–12, 0)
(4, 0) and (6, 0)
(12, 0) and (2, 0)

The question asked about the values of x when y or g(x) is equal to zero. This is similar to asking the zeroes of the equation,
                                         x ² - 10x + 24 = 0
If the values of x are a and b, the second term of the equation is the negative of the sum of a and b. The third term is their product.
                                          24 = ab     ,  b = 24 / a
                         - 10 = - (a + b) = -(a + 24/a)      ; a = 6    ; b = 4

The values of x are 4 and 6. Thus, the ordered pairs are (4, 0) and (6, 0).

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