Sometimes a trinomial may consists of two variables. We can factor the trinomial in a similar way as if it has only one variable. We can use the trial and error method (reverse FOIL method), the grouping method or the AC method.

Related Topics: Factoring Trinomials

* Example: *

Factor the following trinomials:

a) *e*^{2}* − *6*ef + *9*f*^{2
}b) 2*x*^{2} + 7*xy* *−* 15*y*^{2}

* Solution: *

a) *e*^{2 }*−* 6*ef + *9*f*^{2}* = *(*e* *−* 3*f*)^{}^{2 }*
*b) 2

Step 1: Find the Product, Sum and the two numbers that "work"

Product = (First number) &time; (Last number)

Sum = (Middle Number)

Find two numbers that when multiplied gives the Product and when added gives the Sum.

Step 2: Split the middle term.

Step 3: Group in twos and remove the GCF of each group.

Step 4: Write in factored form.

Examples:

1. 2c

2. 5x

Some strategies to factor trinomials that have a = 1

Examples:

1. a

2. m

Example:

18m

Example:

v

Example:

6m

Example:

30x

Examples:

1. 12x

2. 6x

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.