Q1 of 32 Page 2

If (x + 1) is a factor of f(x) = ax2 – x + 1. Find the value of a.

Concept Used:


Factor theorem: If (x – a) is a factor of f(x), then f(a) = 0


Explanation:


If (x + 1) is a factor of f(x), then f(–1) = 0


f(x) = ax2 – x + 1


f(–1) = a(1)2 – 1 + 1


f(–1) = a


Hence, a = 0


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