find the value of a if x-2 is a factor of x^3 - a^x + x + 2
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Step-by explanation-
Let f(x) = x3 – a2x + x + 2
Put x - a = 0
∴ x = a
f (a) = a3 – a2.a + a + 2
0 = a3 – a3 + a + 2
or a + 2 = 0
∴ a = - 2
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