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Loser66
 one year ago
The remainders when a polynomial P(x) is divided by x2 and x+1 are respectively 3 and 2. The remainder when P(x) is divided by (x^2x2)is K(x). What is the value of K(4) ?
Loser66
 one year ago
The remainders when a polynomial P(x) is divided by x2 and x+1 are respectively 3 and 2. The remainder when P(x) is divided by (x^2x2)is K(x). What is the value of K(4) ?

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Loser66
 one year ago
Best ResponseYou've already chosen the best response.0It's ok, friend. It is not my problem, it is from other asker, I just help him to post it here because I don't know how to solve. :(

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.0Hint: (x2) (x+1)=x^2x2 so The remainder when P(x) is divided by (x^2x2)is K(x) ={The remainders when P(x) is divided by x2) *{The remainders when P(x) is divided by x+1) k(X)=3*2

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0hey, go to bed, my friend. It is not that. K(x) =ax +b, it is a first degree polynomial.

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.0i should do that lol

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0hehehe.. I am using group theory to solve it or remainder theorem, but it sounds awkward hehehe... not know how to solve it yet.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0\(P(x) = a_nx^n+a_{n1}x^{n1}+...............+a_0\) what??? I saw @electrokid really???

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0hey, is it you?? @electrokid or the net is crazy??

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0wwwwwwoaaaaaaah, how are you?? @Francesco1907 Sorry friend, I am so excited now, can't think anything.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok still waiting for the answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0isnt this the remainder theorem? If remainder of division by polynomial \(P(x)\) by \((xa)\) is \(b\), then, \(P(a)=b\).

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0P(2) =3 P(1) =2 so??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0P(x) = (x^2  x 2)Q(x) + K(x) P(2) = K(2) =3 P(1) = K(1) = 2 K(x) = ax + b So, 2x + b = 3 1x + b = 2 solve these to get K(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so, we follow that \[P(2)=3\] and \[P(1)=2\] \[P(x)=(x2)(x+1)K(x)\] so, \[K(x)=(3)(2)\] i.e., indepemdemt of x

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0@electrokid I don't think so. \(P(x) = M(x) (x+2)(x1) + K(x) \)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0@adxpoi I think you are right.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0but the equations are 2a+b =3 a+b = 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup, @adxpoi got it :)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0@Francesco1907 take it, please. You have to do the rest.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can I ask 1 more question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah sorry my bad, replace x by a in my last post :P

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0@Francesco1907 post a new one by yourself.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0hey, it is 0, I think and it is not hard to see it, right? just take derivative and plug pi/10 in.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nope we found it its 5 mate

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0how? show me. Don't forget chain rule

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0solve me 57 while I am solving your question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats not the correct answer mate

amilapsn
 one year ago
Best ResponseYou've already chosen the best response.0For the earlier question K(4) can be found using this method too.. (Using similar method you can find K(4)) dw:1440136503090:dw
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