0
Upcoming SlideShare
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Standard text messaging rates apply

# Completing the square

2,309

Published on

A step-by-step instruction about how to complete the square for factoring trinomials.

A step-by-step instruction about how to complete the square for factoring trinomials.

Published in: Education
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total Views
2,309
On Slideshare
0
From Embeds
0
Number of Embeds
7
Actions
Shares
0
35
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Transcript

• 1. Completing the Square Factoring “unfactorable” 2 nd degree trinomials Don Simmons © D. T. Simmons, 2009
• 2. Completing the Square <ul><li>We have learned earlier that a perfect square trinomial can always be factored. </li></ul><ul><li>Therefore, if we have a trinomial we cannot factor using integers, we can change it in such a way that we are dealing with a perfect square trinomial. </li></ul>© D. T. Simmons, 2009
• 3. Completing the Square <ul><li>Recall that a perfect square trinomial is always in the form: </li></ul><ul><li>Therefore, we have to change the polynomial so that it fits the form. </li></ul><ul><li>To get the most out of this presentation, use pencil and paper and work through the instructions slowly and carefully. </li></ul>© D. T. Simmons, 2009
• 4. Completing the Square <ul><li>The equation we are going to solve is the following… </li></ul><ul><li>By testing whether or not the factors of c can sum to equal b, we can determine if the trinomial is factorable . This trinomial is not factorable in its present form. </li></ul>© D. T. Simmons, 2009
• 5. Step 1 <ul><li>Divide by the leading coefficient to set the a- value to 1. </li></ul>© D. T. Simmons, 2009
• 6. Step 2 <ul><li>Re-write the equation in the form ax + by = c </li></ul>© D. T. Simmons, 2009
• 7. Step 3 <ul><li>Find one-half of the b value. </li></ul><ul><li>Add the square of that number to both sides. </li></ul>© D. T. Simmons, 2009
• 8. Step 4 <ul><li>Re-write the perfect square trinomial as a binomial squared. </li></ul><ul><li>Find the square root of each side of the equation. </li></ul>© D. T. Simmons, 2009
• 9. Step 5 <ul><li>Solve for x . </li></ul>© D. T. Simmons, 2009
• 10. Try it. You’ll like it! That’s all folks! © D. T. Simmons, 2009