Answer:
(2x+1) (x+4)
Explanation:
The idea is to break down the middle term into two monomials which can be used in the factorization process. Note that
2.4=8=8.1 , and that we may write 9=8+1 , which may help us in the process.
Let us write:
2x^2+9x+4
=2x^2+8x+x+4
=2x(x+4)+(+4)
=(2x+1)(x+4)