Answer:
Given: Trinomial is x² + 5x + 6
To find: Factors of given Trinomial
factors of Trinomial can be found using identity or using middle term split method.
In given Trinomial no other than x² is a square term. ⇒ we cant use identities.
So we factories given trinomial by middle term split
Consider,
x² + 5x + 6
Split 5x in 3x and 2x
⇒ x² + 3x + 2x + 6
Taken x common from first 2 terms and 2 from last 2 terms.
⇒ x( x + 3 ) + 2 ( x + 3 )
By Grouping ( x+3 ) & ( x+2 ), we get
⇒ ( x + 3 )( x + 2 )
Factors of given Trinomial = ( x + 3 )( x + 2 )