Q2 of 25 Page 2

If (x + 1) is a factor of polynomial f(x) = mx2 – x + 1. Find the value of m2.

Given:


f(x) = mx2 – x + 1


(x + 1) is factor of f(x)


Concept Used:


The factor theorem states that a polynomial has a factor if and only if it is a root.


Or


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


Explanation:


x + 1 = 0


x = –1


f(–1) = m.(–1)2 + 1 + 1 = 0


m + 2 = 0


m = –2


m2 = (–2)2 = 4


Hence, m2 = 4


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