4
QuizMultiple Choice

Solving Quadratic Equations: Zero Product Property

Question 4 • *Integrated Math II Full

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

Answer
A
(–6, 0) and (–4, 0)
B
(–2, 0) and (–12, 0)
C
(4, 0) and (6, 0)
D
(12, 0) and (2, 0)

Explanation

The graph crosses the x-axis where g(x) = 0. Factor x² − 10x + 24 as (x − 4)(x − 6), so the zeros are x = 4 and x = 6. Therefore, the x-intercepts are (4, 0) and (6, 0), choice C.

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