Find the Value of a , If (X - A) is a Factor of X3 - A2x + X + 2.

Find the value of a , if (x - a) is a factor of x³ - a²x + x + 2.

Sum

Let f(x) = x²- 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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