Find the value of ‘a’, if (x – a) is a factor of x3 – ax2 + x + 2. - Mathematics

Find the value of ‘a’, if (x – a) is a factor of x³ – ax² + x + 2.

Sum

Let f(x) = x³ – ax² + x + 2

It is given that (x – a) is a factor of f(x).

∴ Remainder = f(a) = 0

a³ – a³ + a + 2 = 0

a + 2 = 0

a = –2

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