#synthetic division and polynomials

21 messages · Page 1 of 1 (latest)

sterile ginkgo
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Hey, so I know how to do synthetic division if im giving the (x-number) but I don’t know how to do it without that (x-number) and im wondering how I get it.

(X-number) as in (x-1), (x-2), (x+1), etc

I attached an image to give an example of the problem I’m facing

stray peak
sterile ginkgo
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It says factor fully, using your method of choice

haughty basinBOT
stray peak
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So why all the stuff about synthetic division?

sterile ginkgo
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i think to reduce the whole equation and once it's smaller i'll be able to factor it

stray peak
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Okay, well, what's P(1)?

sterile ginkgo
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the function right?

stray peak
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...yes.

sterile ginkgo
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do you mean to replace all the k's with 1s?

stray peak
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...yes, that's generally how it works.

sterile ginkgo
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okay, but why can't it be P(3) or P(2) where did 1 come from?

stray peak
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...because just trust me.

sterile ginkgo
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i still don't quite understand, even if i replace k with 1 I'll still the get the same numbers what would I do with these numbers if I don't have a divisor for the polynomial?

stray peak
sterile ginkgo
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no this is why i'm asking

stray peak
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You replace all the ks with 1s. Then you do the math.

sterile ginkgo
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do the math as in add all the numbers together which would equal zero

stray peak
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Right.

sterile ginkgo
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but how would this help me in getting the divisor for the synthetic division