Q. 65.0( 2 Votes )

Factorize each of

Answer :

In order to factorize the given expression, we find to find two numbers p and q such that:

p + q = -22, pq = 120


Clearly,


-12 – 10 = -22, (-12) (-10) = -120


Therefore, split -22x as -12x – 10x


Therefore,


x2 - 22x + 120 = x2 - 12x – 10x + 120


= x (x - 12) – 10 (x - 12)


= (x – 10) (x - 12)


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