KSP2013777:

Anyone can help me?


] http://i58.tinypic.com/2ex8o4n.jpg\">

Thanks

KSP2013777:

Anyone can help me?


] http://i58.tinypic.com/2ex8o4n.jpg\">

Thanks

a) Let the polynomial be f(x)

f(x)=(x-2)Q(x) where Q(x) is the quotient when divided by(x-2)
f(x)=(x+10)P(x)+12 where P(x) is the quotient when divided by (x+10)

Therefore
(x-2)Q(x)=(x+10)P(x)+12 -----(1)
since both have the same polynomial.

Sub x=2 into (1)
0=12xP(x)+12

Therefore P(x)=-1 and f(x)=2-x

Hence the remainder when f(x) is divided by (x-2)(x+10) is
R(x)=(2-x)/[(x-2)(x+10)]
=-1/(x+10)

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Answer