Which of the following is/are the irreducible factor(s) of 3m2+9m+6?
Given, the expression is
Taking 3 common from the above expression, we get
Now comparing m2+3m+2 with the identity x2+(a+b)x+ab.
We note that,
(a+b)=3 and ab=2.
2+1=3 and (2)(1)=2
Now from (i), we get
3, (m+2) and (m+1) are the 3 irreducible factors of the given expression.