anonymous
  • anonymous
How can polynomial functions be written when given the zeros? can anybody give me a simple answer no examples
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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welshfella
  • welshfella
given the zeros a , b and c we can write P(x) = (x - a)(x - b)(x - c)
zzr0ck3r
  • zzr0ck3r
there will be infinite polynomials with those roots.
welshfella
  • welshfella
you can the expand this to obtain standard form

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zzr0ck3r
  • zzr0ck3r
\(p(x)=k(x-a)(x-b)(x-c)\)
zzr0ck3r
  • zzr0ck3r
and of course, if there were more roots there would be more binomial factors...
welshfella
  • welshfella
ah yes i missed the constant k
anonymous
  • anonymous
can you put that all together please CX it is confusing me CX lol
welshfella
  • welshfella
what part don't you understand - why the k had to be added ?
welshfella
  • welshfella
k can be any constant:- 2 , 6, 0.25 whatever
welshfella
  • welshfella
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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