Q. 314.5( 11 Votes )

Factorize:

3z2 – 10z + 8

Answer :

Given,


3z2 – 10z + 8


Now, first we have to find out the numbers whose-


Sum = - 10 and


Product = 3 × 8 = 24


The numbers are 6 and 4,


So,


3z2 – 10z + 8


= 3z2 – 6z – 4z + 8


= 3z(z – 2) – 4(z – 2)


= (z – 2)(3z – 4)


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