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Lesson 6

1. Lesson 6

1.5. Explore

Mathematics 20-2 M3 Lesson 6

Module 3: Quadratics


Explore
 

There are many other ways to approach the factoring of trinomials. The video “Factoring Trinomials with a non-1 Leading Coefficient by Grouping” shows one way to factor trinomials that may have been on your hard-to-factor list in the Discover section.

 

 

This is a screenshot for “Factoring Trinomials with a non-1 Leading Coefficient by Grouping.”

Khan Academy (CC BY-NC-SA 3.0)



Self-Check 2
 

Factor each of the following trinomials.

  1. 8x2 + 14x + 3 Answer

  2. 3x2 + 5x − 2 Answer

  3. 6x2 + x − 15 Answer

  4. 12x2 − 5x − 3 Answer

  5. 3x2 + 20x + 12 Answer

In mathematics, some trinomials are classified as perfect squares. These trinomials have two identical factors. Practice is needed to decide when a trinomial is a perfect square. Watch Factoring Perfect Square Trinomials to learn more.

 

 

This is a play button that opens Factoring Perfect Square Trinomials.

 

Self-Check 3
This is a photo of chocolate brownies cut into squares.

© komar.maria/31328146/Fotolia

 

Factor each of the following trinomials.

  1. x2 − 4x + 4 Answer
  1. x2 + 10x + 25 Answer
  1. y2 − 6y + 9 Answer
  1. 2x2 + 24x + 72 Answer
  1. 4x2 − 20x + 25 Answer