One of the methods that we can use to factor trinomials is by trail and error or unfoiling.
In these lessons, we will learn how to factorize trinomials by the trial and error method. Many examples and worked solutions are shown.
It is also possible to factorize trinomials without trial and error. This is shown in the last video on this page.
We also have a trinomial calculator that will help you to factorize trinomials. Use it to check your answers.
Related Topics: More Algebra Lessons
Factor the following trinomial.
x2 - 5x + 6
Step 1:The first term is x2, which is the product of x and x. Therefore, the first term in each bracket must be x, i.e.
x2 - 5x + 6 = (x ... )(x ... )
Step 2: The last term is 6. The possible factors are ±1 and ±6 or ±2 and ±3. So, we have the following choices.
(x + 1)(x + 6)
(x - 1)(x - 6)
(x + 3)(x + 2)
(x - 3 )(x - 2)
The only pair of factors which gives -5x as the middle term is (x - 3)(x - 2)
Step 3: The answer is then
x2 - 5x + 6 = (x - 3 )(x - 2)
The following videos show many examples of factoring trinomial by the trial and error method.Factor trinomial by unfoiling (trial and error)