anonymous
  • anonymous
let p(x) = x^5+8x^4-30x^3+30x^2-31x+22 what is the relationship between p(x) and f(x)= 5x^4+32x^3-90x^2+60x-31what do the values of p(1) and p(2) tell you about the values of f(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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experimentX
  • experimentX
f(x) is derivative of p(x) with respect to x
anonymous
  • anonymous
ok I get that part I quess but what about the "what do the values of p(1) and p(2) tell you about the values of f(x)" part Thanks btw
anonymous
  • anonymous
i assume there will be a sign change between those 2 values?

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anonymous
  • anonymous
i think \(f(1)=0\) check it
anonymous
  • anonymous
sorry i meant \(p(1)=0\)
anonymous
  • anonymous
I got zero
anonymous
  • anonymous
yes as does \(p(2)=0\)
anonymous
  • anonymous
but I dont know what that means... i think I am a bit confused
anonymous
  • anonymous
it means there's a critical value between 1 and 2 where the tangent to the curve is horizontal
anonymous
  • anonymous
it means there's a zero of f(x) between x=1 and x=2

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