use factor theorem to determine wheater x+2is factor of x³+4x-5
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x-a is a factor of f(x) if f(a) =0
f(x) = x³+4x-5
f(-2) = -2³+4(-2) -5
=-8-8-5 = -21 which is not zero
so x+2 is not a factor of f(x)
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