### Theory:

In the quadratic factorisation we perform splitting of the middle term. which is $x$ term is that the sum of two factors and the product equal to the last term.
Example:
Factorize .

To form the factor:  where ($$a = 6$$, $$b = 19$$ and $$c = 10$$).

Step 1: Find the product of the first and last term $$(a × c)$$.

.

Step 2: Find the factors of $$60$$ using the middle term in such a way that the addition or subtraction of that factors $$(19x)$$ (Splitting of the middle term).

and .

Step 3: Write the middle term using the sum of the $$2$$ new factors, including the correct signs.

Step 4: Group the terms to make pairs using the first two terms and also the last two terms. Factor each pair by finding common factors.

Step 5: Factor out the common factors from the term.

The factors of  is .