Which function has real zeros at Which function has real zeros at x = 3 and x = 7?x = 3 and x = 7?
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x^2 - 10x + 21 = 0
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Answer:f(x) = x^2 -10x+21
Step-by-step explanation:
If the graphs have zero's at 3 and 7, we can use the zero product property
f(x) = (x-a) (x-b) where a and b are the zero's of the functions
f(x) = (x-3) (x-7)
We can then FOIL the equation
First :x*x = x^2
Outer: -7*x = -7x
Inner: -3x
Last -3*-7 = 21
Add them together
x^2 -7x-3x+21
f(x) = x^2 -10x+21
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