#Someone explain vietas formula

40 messages · Page 1 of 1 (latest)

prisma forge
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Getting
3, 2 + i, 2 - i

why would vietas formula be used and what are its use cases as i wanna use it.
and is there an easier version of doing c?

image.png
oblique apexBOT
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oblique apexBOT
prisma forge
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someone ping me

digital sedge
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You use vietas to find the coefficients of polynomials

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Given the roots

prisma forge
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all coefficients or only if there is 1 left?

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and whats the general formula?

digital sedge
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All coefficients

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-b/a = sum of all roots

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Where b is the coefficient of the 2nd term

prisma forge
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so if you had a polynomial of x^4 and had (1 + i) and (1 - i) i could find the other 2?

digital sedge
prisma forge
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because the other 2 we dont know? therefore youd have to multiply out and divide then use quadratic formula?

digital sedge
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Huh

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Vietas is for finding the coefficients

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Where you already know the roots

prisma forge
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oh, so if you had all 4 how would you find the coefficent of x^3,2,1 etc?

digital sedge
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Yeah

prisma forge
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how if you did have those 4.

digital sedge
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Using the formulas

prisma forge
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where are those

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send it

digital sedge
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For quartic

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Bad image

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Here

prisma forge
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and for others like x^5 onwards would be different equations?

digital sedge
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But it adds another one

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And the last one is negated

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Product of all roots

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Which makes sense

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Since the roots are factored as (x-a)

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(-1)^n is odd if the power is odd

prisma forge
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wow thanks

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+close

oblique apexBOT
# prisma forge +close
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