anonymous
  • anonymous
when a polynomial f(x)divided by (x-1)it gives remainder 4 &when divided by (x-2) remainder=5 what will be remainder if f(x)is dividedby (x-1)(x-2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
love remainder/factor theorem
anonymous
  • anonymous
P(x)=Q(x)D(x)+R
amistre64
  • amistre64
\[\frac{x-1+4}{x-1}\] \[\frac{x-2+5}{x-2}\] since f(x) = x+3 is "a" solution .... i wonder if we can be this specific

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anonymous
  • anonymous
i think we look more at the remainder theorem here.
anonymous
  • anonymous
For this speicfic question P(x)=Q(x)(x-1)(x-2)+(Ax+B)
anonymous
  • anonymous
The remainder is a linear factor as it is 1 degree lower than a quadratic
anonymous
  • anonymous
Is this guy online?
amistre64
  • amistre64
prolly not .... but the question was nice
anonymous
  • anonymous
Anyway we know P(1)=4 from first lot of info and P(2)=5
anonymous
  • anonymous
now its just simultaneous equations
anonymous
  • anonymous
So we get A+B=4 2A+B=5
anonymous
  • anonymous
A=1 B=3
anonymous
  • anonymous
tHEREFORE remainder is x+3
amistre64
  • amistre64
so i was right :)
anonymous
  • anonymous
which is what u got i guess haha
anonymous
  • anonymous
i gotta hand it to you

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