In the quadratic factorisation we perform splitting of the middle term. which is term is that the sum of two factors and the product equal to the last term.
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).
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 .