How do you write #w^2+18w+77# in factored form?
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
Ans: y = (w + 7)(w + 11)
I use the new AC Method (Socratic Search) that is simpler and that avoids the lengthy factoring by grouping.
y = w^2 + 18w + 77 = (w + p)(w + q).
The 2 numbers p and q have same sign. Compose factor pairs of 77.--> (1, 77)(7, 11). This sum is 18 = b. Then, p = 1 and q = 77.
Factored form y = (w + 7)(w + 11)