# Algebra 1 : How to factor a trinomial

## Example Questions

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### Example Question #21 : Trinomials

Factor the following trinomial: Possible Answers:    Correct answer: Explanation:

To factor the trinomial, its general form given by , we must find factors of the product that when added together give us For our trinomial, and . The two factors that fit the above rule are and , because and .

Using the two factors, we can rewrite the term as a sum of the two factors added together and multiplied by x: Now, we must factor by grouping, which means we group the first two terms, and the last two terms, and factor them: Note that after we factored the two groups of terms, what remained inside the parentheses is identical for the two groups.

Simplifying further, we get , which is our final answer.

### Example Question #22 : How To Factor A Trinomial

Which of the following is a perfect square trinomial?

Possible Answers:     Correct answer: Explanation:

A perfect square trinomial takes the form ,

where Since , for to be a perfect square, .

This makes the correct choice.

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