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

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

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

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

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

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

DeadShot
 one year ago
Best ResponseYou've already chosen the best response.0I 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.0thats 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

DeadShot
 one year ago
Best ResponseYou've already chosen the best response.0so 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?
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