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Need help with pre-calc fast

User Profile: TheCrew4887
TheCrew4887 November 8th, 2023

Would anyone happen to understand how Rational Root Theorem would involve synthetic division to find the zeroes/roots of an equation/function?

I have to figure it out before I go back to finish a test today. I have only three hours and I've tried all online resources I know (youtube, Khan Academy, etc.) and none of them helped or mentioned synthetic division in the example problems. 

Any and all help would be greatly appreciated

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User Profile: AffyAvo
AffyAvo November 8th, 2023

@TheCrew4887 I'm not familiar with the term synthetic division. Based on what you're describing though that sounds like what I knew as long division. If you take something like x^2+3x and divide by x the equation can be broken down into x(x+3).

It's been well over a decade, maybe 2 since I have done that. Hopefully long division helps with the search term if you need more explanation. 

2 replies
User Profile: TheCrew4887
TheCrew4887 OP November 8th, 2023

@AffyAvo

Thank you, this is another method I've learned and I might use it to get the answer to the question I dont understand, but it says to use the specific method so it might only get me half credit if i do it this way on the test. Thank you for the response though!


1 reply
User Profile: AffyAvo
AffyAvo November 8th, 2023

@TheCrew4887 Ah I was hoping long vs. synthetic was just a regional difference of using a different name for the same thing.

I hope you are able to figure it out!

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User Profile: TheCrew4887
TheCrew4887 OP November 8th, 2023

@TheCrew4887

Update: I managed to get the time to finish the test moved to tomorrow morning, so I have a bit more time now. I still don't understand the concept though, so I'm still looking for help

2 replies
User Profile: AffyAvo
AffyAvo November 8th, 2023

@TheCrew4887 You got me googling - still don't remember synthetic division, maybe I never learned it!  This helped me quickly see how it's cutting down some steps from long division. Hope this helps!

https://flexbooks.ck12.org/cbook/ck-12-interactive-algebra-2/section/1.4/related/lesson/long-division-and-synthetic-division-alg-i-hnrs/#:~:text=Synthetic%20division%20is%20another%20method,the%20coefficients%20in%20the%20polynomials.

1 reply
User Profile: TheCrew4887
TheCrew4887 OP November 9th, 2023

@AffyAvo

Thank you so much!

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