Question

How to split the middle term?

Answer 1

by dividing that number

Answer 2

multiply the coefficient of x square and the constant term .
For example there is a equation
$5x {}^{2} + 7x + 2$

In above equation the coefficient of x square is 5 and the constant term is 2 , multiply them we will get 10 we should. write factors for 10 .
The factors are5,2;10,1
we should take the factor pair that the sum of that pair should be equal to middle number.
Then spillt the middle term as shown below.
$5x {}^{2} + 5x + 2x + 2$
take common
$5x(x + 1) + 2(x + 1)$
Then,
$(x + 1)(5x + 2)$
x=-1,-2/5