anonymous
  • anonymous
for the given polynomial P(x) and the given c, use the remainder theorem to fid P(c). P(x)=3x^3-7x^2-2x+5 ; c=-3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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experimentX
  • experimentX
-133
anonymous
  • anonymous
how did you get that?
experimentX
  • experimentX
put the value x=-3, it seems that x+3 is not factor of P(x)

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anonymous
  • anonymous
so for this one P(x)=4x^4+x^2-2 ; c= -1 if it doesnt equal 0 its not a factor?
anonymous
  • anonymous
or does it have to equal the the value of c?
experimentX
  • experimentX
yup ...
experimentX
  • experimentX
no ... it must be zero if x+1 is a factor of P(x)
experimentX
  • experimentX
let me say again ... if x+a is a factor of P(x) then p(-a) must be equal to zero
anonymous
  • anonymous
ohh ok when plugging in c to p(x) it must equal 0 for it to be a factor
experimentX
  • experimentX
for example we have P(x) = x^2 - 3x + 2 now we have P(-1) = 0, so, x+1 is factor of P(x) and so is x-2, but P(5) != 0 therefore x-5 is not factor of P(x)
anonymous
  • anonymous
ohh can you do just this one P(x)=4x^4+x^2-2 ; c= -1
experimentX
  • experimentX
P(-1) = 4 + 1 - 2 = 3 != 0 so x+1 is not a factor of P(x)
anonymous
  • anonymous
i get it! Thank you

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