Q. 24.1( 27 Votes )

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

Answer :

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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