1.

Factorize: x2 – 11x – 42

Answer»

x2 – 11x – 42 

Now, first we have to find out the numbers whose

Sum = - 11 and 

Product = - 42 

The numbers are 14 and 3, 

So, 

x2 – 11x – 42 

= x2 – 14x + 3x – 42 

= x(x – 14) + 3(x + 14) 

= (x – 14)(x + 3)



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