Answer:
The answer is Option c
9, -12, 24
Step-by-step explanation:
We have the polynomial:
[tex]f(x) = (x - 9)(x + 12)(x - 24)[/tex]
To find the zeros we must equal [tex]f(x) = 0[/tex]
So:
[tex](x - 9)(x + 12)(x - 24) = 0[/tex]
Then the previous expression is equal to zero in any of these 3 cases:
Case 1
[tex](x-9) = 0\\x = 9[/tex]
Case 2
[tex](x + 12) = 0\\x = -12[/tex]
Case 3
[tex](x-24) = 0\\x = 24[/tex]
Then [tex]f(x) = 0[/tex] if [tex]x = 9[/tex] or [tex]x = -12[/tex] or [tex]x = 24[/tex]
The answer is 9, -12, 24
