10
QuizMultiple Choice

Solving Quadratic Equations: Zero Product Property — Quiz

Question 10 • Algebra I

The function g of x is equal to x squared minus 10 x plus 24 is graphed on a coordinate plane. Where will the function cross the x -axis?

Answer
A
12 comma 0 and 2 comma 0
B
negative 6 comma 0 and negative 4 comma 0
C
4 comma 0 and 6 comma 0
D
negative 2 comma 0 and negative 12 comma 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 intercepts are (4, 0) and (6, 0), which matches choice C.

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