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Remainder Theorem

State whether...

Question

State whether True or False.

Factorization of $m - 1 - (m - 1)^{2} + a m - a$ is $(m - 1) (2 - m + a)$ .
If true then enter $1$ and if false then enter $0$ .

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Solution

Factorizing
$m - 1 - (m - 1)^{2} + a m - a$
$= (m - 1) - (m - 1)^{2} + a (m - 1)$
$= (m - 1) (1 - (m - 1) + a)$
$= (m - 1) (2 - m + a)$

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