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