anonymous
  • anonymous
Determine whether 2 is a zero of P(x)=2x^3-5x^2+4x-6 using the Remainder Theorem. Explain how the Remainder Theorem is useful in finding zeros of a polynomial.
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
f(2)=2(2)^3-5(2)^2+4(2)=-2 2 is not a zero. f(2) is the remainder you get when dividing P(x) by x-2. if the remainder is not 0, it is not a zero
anonymous
  • anonymous
sometimes it is more convenient to use synthetic division, especially with large numbers
anonymous
  • anonymous
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anonymous
  • anonymous
as you can see, the remainder when dividing P(x) by x-2 is the same as P(2)
anonymous
  • anonymous
I dont understand what you said in the first post
anonymous
  • anonymous
if P(2) were to equal 0, then 2 would be a zero of P(x)
anonymous
  • anonymous
but P(2)=-2, so 2 is not a zero of P(x)
anonymous
  • anonymous
so what does this have to do with the remainder theorem?

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