Factorize: z2 – 12z – 45 – InterviewSolution

1.	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)

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)