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DeadShot
Group Title
How would I set this up to solve it?
Find the polynomial function with roots 1, 7, and 3 of multiplicity 2.
 one year ago
 one year ago
DeadShot Group Title
How would I set this up to solve it? Find the polynomial function with roots 1, 7, and 3 of multiplicity 2.
 one year ago
 one year ago

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ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
All the roots of multiplicity \(2\)?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
And here's your example: If you want a polynomial with root \(2\) of multiplicity \(3\),\[(x  2)^3\]
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
so, root 3 of multiplicity 2 would be \[(x  (3))^2\] right?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
That is correct :)
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
So is it only \(3\) with multiplicity \(2\)?
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
I have no idea, the question on my homework says "Find the polynomial function with roots 1, 7, and 3 of multiplicity 2.", the teacher didn't say anything else about it.
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
so, \[(x1) (x7) (x(3))^2\] is the correct way to set it up?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Yes, that's correct! But if we have all those with multiplicity \(2\),\[(x  1)^2(x  7)^2(x + 3)^2\]
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
ok, so I'll do all of them with multiplicity of two. \[(x1)^2 (x7)^2 (x(3))^2\] and then solve it.
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
I dunno, it's your choice. It can be either.
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
So, it becomes \[(x^2 + 1) (x^2 + 49) (x^2 + 9)\] right?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
I think it's just \(3\) with multiplicity of \(2\).
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
They don't usually give such hard problems.
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
oh, so then it's \[(x1) (x7) (x^2 + 9)\] right?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Hey wait, don't we have the same pics?
 one year ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
It should be \[(x1) (x7) (x + 3)^2\]
 one year ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.0
\[(x+3)^2\ne x^2+9\] \[(x+3)^2=x^2+2\times 3\times x+3^2\]
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Why is OpenStudy so slow right now?
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
so, then it's \[(x1) (x7) (x^2 + 6x + 9)\] ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.0
thats correct, but i think you need to multiply them out for final answer, and bring it in the form, ax^4+bx^3+cx^2+dx+e
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
so then the answer is \[(x^4 + 6x^3  x^3  7x^3 x^2  7x^2 6x  42x  9  63) \] simplified, it is \[(x^4  2x^3  8x^2  48x  72)\] right?
 one year ago

DeadShot Group TitleBest ResponseYou've already chosen the best response.0
ok, thanks!
 one year ago
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