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smileahuja

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)

  • 10 months ago
  • 10 months ago

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  1. chris00
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    love remainder/factor theorem

    • 10 months ago
  2. chris00
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    P(x)=Q(x)D(x)+R

    • 10 months ago
  3. amistre64
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    \[\frac{x-1+4}{x-1}\] \[\frac{x-2+5}{x-2}\] since f(x) = x+3 is "a" solution .... i wonder if we can be this specific

    • 10 months ago
  4. chris00
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    i think we look more at the remainder theorem here.

    • 10 months ago
  5. chris00
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    For this speicfic question P(x)=Q(x)(x-1)(x-2)+(Ax+B)

    • 10 months ago
  6. chris00
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    The remainder is a linear factor as it is 1 degree lower than a quadratic

    • 10 months ago
  7. chris00
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    Is this guy online?

    • 10 months ago
  8. amistre64
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    prolly not .... but the question was nice

    • 10 months ago
  9. chris00
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    Anyway we know P(1)=4 from first lot of info and P(2)=5

    • 10 months ago
  10. chris00
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    now its just simultaneous equations

    • 10 months ago
  11. chris00
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    So we get A+B=4 2A+B=5

    • 10 months ago
  12. chris00
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    A=1 B=3

    • 10 months ago
  13. chris00
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    tHEREFORE remainder is x+3

    • 10 months ago
  14. amistre64
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    so i was right :)

    • 10 months ago
  15. chris00
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    which is what u got i guess haha

    • 10 months ago
  16. chris00
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    i gotta hand it to you

    • 10 months ago
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