### Factoring Trinomials with Leading Coefficient 1

To factor a trinomial with leading coefficient 1, find two numbers whose sum is equal to the coefficient of the linear term of the trinomial and whose product is equal to the constant term of the trinomial. Use trial and error to do this.

If all the terms of the trinomial are positive, then all the factors will have positive terms.

If the constant term is positive and the linear term is negative, the factors will have two negative constant terms.

If the constant term is negative, the factors will have constant terms that have opposite signs.

You can solve some quadratic equations by factoring the trinomial and then using the zero product property

### Factoring Trinomials with Leading Coefficient 1

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Factoring Trinomials 0:23
- Example
- Rules for Signs 6:27
- Both Positive
- Both Negative
- Opposite Signs
- Solving Equations 8:26
- Example
- Lecture Example 1 11:14
- Lecture Example 2 14:01
- Additional Example 3
- Additional Example 4

0 answers

Post by Miriam Ravelo on July 17, 2013

Thank you this helped me tremendously!

0 answers

Post by Jeanette Akers on January 21, 2012

This presentation is excellent. The instructor's tip about building a table really helps me. I'm looking forward to the factoring presentation with the "a" coefficient being bigger than 1.