Factorize:

x2 – 23x + 42

Given,


x2 – 23x + 42


Now, first we have to find out the numbers whose-


Sum = - 23 and


Product = 42


The numbers are 21 and 2,


So,


x2 – 23x + 42 = x2 – 21x – 2x + 42


= x(x – 21) – 2(x – 21)


= (x – 21)(x – 2)


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