Q3 of 137 Page 102

Factorize:

z2 + 12z + 27

z2 + 12z + 27


Now first find the numbers whose-


Sum = 12 and


Product = 27


Required numbers are 9 and 3,


So we get;


z2 + 12z + 27


= z2 + 9z + 3z + 27


= z(z + 9) + 3(z + 9)


= (z + 9)(z + 3)


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