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anonymous

  • one year ago

How can polynomial functions be written when given the zeros? can anybody give me a simple answer no examples

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  1. welshfella
    • one year ago
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    given the zeros a , b and c we can write P(x) = (x - a)(x - b)(x - c)

  2. zzr0ck3r
    • one year ago
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    there will be infinite polynomials with those roots.

  3. welshfella
    • one year ago
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    you can the expand this to obtain standard form

  4. zzr0ck3r
    • one year ago
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    \(p(x)=k(x-a)(x-b)(x-c)\)

  5. zzr0ck3r
    • one year ago
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    and of course, if there were more roots there would be more binomial factors...

  6. welshfella
    • one year ago
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    ah yes i missed the constant k

  7. anonymous
    • one year ago
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    can you put that all together please CX it is confusing me CX lol

  8. welshfella
    • one year ago
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    what part don't you understand - why the k had to be added ?

  9. welshfella
    • one year ago
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    k can be any constant:- 2 , 6, 0.25 whatever

  10. welshfella
    • one year ago
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    and following on from zzrock's post you can have more than 3 roots - for each root there will be another binomial for 4 roots we would have p(x) = k(x-a)(x-b)(x-c)(x-d)

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