1.

Factorize: x2 – 22x + 117

Answer»

Given, 

x2 – 22x + 117 

Now, first we have to find out the numbers whose

Sum = - 22 and 

Product = 117 

The numbers are 13 and 9, 

So, 

x2 – 22x + 117 

= x2 – 13x – 9x + 117 

= x(x – 13) – 9(x – 13) 

= (x – 13)(x – 9)



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