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If the remainders of the polynomial f(x) when divided by x – 1, x – 2 are 2, 5 then the remainder of f(x) when divided by (x – 1) (x – 2) is

rushanth , 10 Years ago
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anser 1 Answers
Sunil Raikwar

Last Activity: 10 Years ago

let the remainder be (ax+b) then

f(x)= (x-1)(x-2).q(x)+ax+b...................1
put x=1 & 2 in 1, we find
a+b=2
2a+b=5
a=3,b=-1
Required remainder is 3x-1

Thanks & Regards
Sunil Raikwar
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