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.
We can factor trinomials by first looking for factors that are common (that is the GCF)
Factor the following trinomials:
a) ad + dc + df
b) 2pq + 6p2q - 4 p3q
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.
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.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.