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Factor Trinomials by GCF




 
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More lessons for factoring and other Grade 9 topics

When factoring trinomials, the first step would be to try to find the greatest common factor (GCF). We can then pull out the GCF by using the distributive property in reverse.

Find the Greatest Common Factor - GCF

We can factor trinomials by first looking for factors that are common (that is the GCF)

Example:

Factor the following trinomials:

a) ad + dc + df

b) 2pq + 6p2q - 4 p3q

Solution:

a) ad + dc + df = d(a + c + f ) ← extract GCF d

b) 2pq + 6p2q – 4p3q = 2pq(1 + 3p – 2p2) ← extract GCF 2pq

The following two videos show how to factor trinomials with a negative leading coefficient.

Factor trinomial with negative in front.



Factor trinomial with negative leading coefficient
The following video shows an example of finding common factors as a first step in factoring a quadratic equation.


 

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 widget 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.


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