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DeadShot
 2 years ago
How would I set this up to solve it?
Find the polynomial function with roots 1, 7, and 3 of multiplicity 2.
DeadShot
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1All the roots of multiplicity \(2\)?

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

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

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

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

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

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

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

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

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

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

ash2326
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1Why is OpenStudy so slow right now?

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

hartnn
 2 years 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
 2 years 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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