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Mathematics 24 Online
OpenStudy (grant330sims):

Find the polynomial function with roots 1, 7, and –3 of multiplicity 2

OpenStudy (anonymous):

pretty much the same as the last one, but multiplicity two means it is \[(x-1)(x-7)(x+3)^2\]

OpenStudy (grant330sims):

gotcha! thanks!

OpenStudy (grant330sims):

so the final answer would be x^4+2x+16?

OpenStudy (anonymous):

i don't know i didn't multiply seems unlikely though. hold on

OpenStudy (anonymous):

the constant term has to be \(-7\times 9=-63\) so that cannot be right

OpenStudy (anonymous):

expanded form is here http://www.wolframalpha.com/input/?i=%28x-1%29%28x-7%29%28x%2B3%29^2

OpenStudy (grant330sims):

are all three of them being squared, or is it just x-3?

OpenStudy (anonymous):

i took it to mean that only the zero of 3 had multiplicity two

OpenStudy (grant330sims):

o.k. then. Thanks for that link!

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