PSAT Math : How to factor a trinomial

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #1 : How To Factor A Trinomial

Factor the following expression completely:

Possible Answers:

Correct answer:

Explanation:

We must begin by factoring out from each term.

Next, we must find two numbers that sum to and multiply to .

Thus, our final answer is:

Example Question #2 : How To Factor A Trinomial

Factor the following trinomial:

Possible Answers:

Correct answer:

Explanation:

To trinomial is in  form

In order to factor, find two numbers whose procuct is , in this case , and whose sum is , in this case

Factors of :

Which of these pairs has a sum of ?

and

Therefore the factored form of is:

Example Question #3 : How To Factor A Trinomial

Factor the trinomial.

Possible Answers:

Correct answer:

Explanation:

Our factors will need to have a product of , and a sum of , so our factors must be  and .

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