Factor Trinomials by Unfoiling (Trail and Error)

Another method that we can use to factor trinomials is by trail and error or unfoiling.

In this lesson, we will learn how to factorize trinomials by trial and error. Many exanples and worked solutions are shown.

We also have a trinomial calculator that wil help you to factorize trinomials. Use it to check your answers.

Related Topics: More Algebra Lessons

Example:

Factor the following trinomial.

x2 - 5x + 6

Solution:

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)

Videos

The following videos show many examples of factoring trinomial by trial and error.

Factor trinomial by unfoiling (trial and error)
4x2 + 15x + 9

Factor trinomial by unfoiling (trial and error)
4x2 − 15x + 9





Factor trinomial by unfoiling (trial and error)
20x2 − 13x −15

Factor trinomials by GCF and the unfoiling (trial and error)
Factor trinomial, gcf then unfoil
−7a2 −50ab −7b2





Factor trinomial, gcf then unfoil
8w2 − 48w + 64



Factor trinomial, gcf then unfoil
a4 + 6a3b − 7a2b2





Factor trinomial, large coefficients, gcf then unfoil
120x4 +50x3 − 125x2



This trinomial calculator will help you to factorize trinomials. It will also plot the graph.







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