Q. 274.0( 8 Votes )

Factorize:

z2 – 12z – 45

Answer :

Given


z2 – 12z – 45


Now first find the numbers whose-


Sum = - 12 and


Product = - 45


Required numbers are 15 and 3,


So we get;


z2 – 12z – 45


= z2 – 15z + 3z - 45


= z(z – 15) + 3(z – 15)


= (z – 15)(z + 3)


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