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example of the factor theorem

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Gayondatoaxelviz
is x+2 a factor of x^2-5x+6?
To prove:
Equate x-2 to 0
x-2=0
x=2 (that's the value of x)

x^2-5x+6?
Substitute the value of x
2^2-5(2)+6=0
if 2 makes the equation equal to 0, that means x-2 is a factor of x^2-5x+6.

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