What are the x -intercepts of the graph of the function f of x is equal to x squared plus 5 x minus 36 ?
Answer
A
negative 4 comma 0 and 9 comma 0
B
negative 3 comma 0 and 12 comma 0
C
3 comma 0 and negative 12 comma 0
D
4 comma 0 and negative 9 comma 0
Explanation
The x-intercepts occur where f(x) = 0. Factor x² + 5x − 36 as (x + 9)(x − 4) = 0, so x = −9 or x = 4. The intercepts are (−9, 0) and (4, 0), which matches choice C.
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