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smileahuja

  • 2 years ago

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)

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  1. chris00
    • 2 years ago
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    love remainder/factor theorem

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

  3. amistre64
    • 2 years ago
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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

  4. chris00
    • 2 years ago
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    i think we look more at the remainder theorem here.

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

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

  7. chris00
    • 2 years ago
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    Is this guy online?

  8. amistre64
    • 2 years ago
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    prolly not .... but the question was nice

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

  10. chris00
    • 2 years ago
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    now its just simultaneous equations

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

  12. chris00
    • 2 years ago
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    A=1 B=3

  13. chris00
    • 2 years ago
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    tHEREFORE remainder is x+3

  14. amistre64
    • 2 years ago
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    so i was right :)

  15. chris00
    • 2 years ago
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    which is what u got i guess haha

  16. chris00
    • 2 years ago
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    i gotta hand it to you

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