How do you factor #6x^2 + 8x + 2#?
We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like
After trying out a few numbers we get
There is another shortcut that avoids the lengthy factoring by grouping.
Since a + b + c = 0, the trinomial in parentheses has one factor (x + 1) and another (x + c/a) = (x + 1/3)
Check by developing:
Reminder of the shortcut for f(x) = ax^2 + bx + c = 0.
1. When a + b + c = 0, one real roots is (1) and the other is (c/a)
2. When a - b + c = 0, one real root is (-1) and the other is (-c/a)
Remember this TIP. It will save you a lot of time and effort.