Armaan20 Armaan20
  • 29-06-2017
  • Mathematics
contestada

P()=
X-2 is a factor of P(x)
X-2 is not a factor

P X2 is a factor of Px X2 is not a factor class=

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mathmate
mathmate mathmate
  • 08-07-2017
The factor theorem says that if (x-k) is a factor of the polynomial P(x),  if and only if x=k is a zero to the equation P(x)=0.
Here
P(x)=2x^4-2x^3-6x^2+8
P(2)=2(2)^4-2(2)^3-6(2)^2+8  
=32-16-24+8
=0
So by the factor theorem, (x-2) is a factor of P(x).
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