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Parabolas Ep. 11 - Steps to Completing the Square - 13:32

 
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Manage episode 157289424 series 1217059
Content provided by PapaPodcasts. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by PapaPodcasts or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.
KEY CONCEPTS:
Completing the Square involves converting a quadratic function from STANDARD FORM into a VERTEX FORM.
Steps:
1. Group the x's together and keep the constant (c-value) off to the side.
2. Factor the a-value from x^2 and x (IF we have an a-value)
3. Divide the x-value by 2 and then square it.
4. With the value you get from Step 3, add it to your x^2 and x value and subtract it by that same value (don't forget about the c-value - we're not using it yet, until the end)
5. The first 3 terms you have form a Perfect Square Trinomial (P.S.T) - Factor your P.S.T by square rooting your first term of the PST and the third term of the PST
6. Create your binomial of squares (Special Products)
7. Multiply your a-value (IF you factored one out) with the minus value from Step 4.
8. Simplify the number from Step 7 with the c-value we set aside at the start.
  continue reading

27 episodes

Artwork
iconShare
 
Manage episode 157289424 series 1217059
Content provided by PapaPodcasts. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by PapaPodcasts or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.
KEY CONCEPTS:
Completing the Square involves converting a quadratic function from STANDARD FORM into a VERTEX FORM.
Steps:
1. Group the x's together and keep the constant (c-value) off to the side.
2. Factor the a-value from x^2 and x (IF we have an a-value)
3. Divide the x-value by 2 and then square it.
4. With the value you get from Step 3, add it to your x^2 and x value and subtract it by that same value (don't forget about the c-value - we're not using it yet, until the end)
5. The first 3 terms you have form a Perfect Square Trinomial (P.S.T) - Factor your P.S.T by square rooting your first term of the PST and the third term of the PST
6. Create your binomial of squares (Special Products)
7. Multiply your a-value (IF you factored one out) with the minus value from Step 4.
8. Simplify the number from Step 7 with the c-value we set aside at the start.
  continue reading

27 episodes

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