Question

factorise 6z^2+17z+5​

Answer 1

To factorize : $6z^{2} + 17z + 5$

Solution :

• To factorize $6z^{2} + 17z + 5$ we use method of splitting the middle term.

• To factorize given algebraic equation we split the middle term such that , product of two middle terms is third term and on adding or subtracting these terms we get original middle term .
• Therefore ,  $6z^{2} + 17z + 5 = 6z^{2} + 2z + 15z + 5$  

        Taking common terms out we get,

                                                  $= 2z ( 3z + 1 ) + 5 (3z + 1)$  

                                                  $= ( 3z + 1) ( 2z + 5 )$

Hence , factors of $6z^{2} + 17z + 5$ are $( 3z + 1 ) ( 2z + 5 )$ .