Q5 of 137 Page 102

Factorize:

x2 + 15x + 56

Given,


x2 + 15x + 56


Now first find the numbers whose-


Sum = 15 and


Product = 56


Required numbers are 7 and 8,


So we get;


x2 + 15x + 56


= x2 + 7x + 8x + 56


= x(x + 7) + 8(x + 7)


= (x + 7)(x + 8)


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