kerenvelazquez0 kerenvelazquez0
  • 26-04-2017
  • Mathematics
contestada

which of the following is a factor of 5y4+4y3+10y+8?
A.y-5
B.y^2-3
C.5y-4
D.y^3+2

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-08-2019

Answer:

  D.  y^3+2

Step-by-step explanation:

Descartes' rule of signs tells you there are no positive real roots. That eliminates choices A, B, and C, leaving only choice D.

___

Pairs of coefficients are in the ratio 5:4 suggesting that factoring by grouping can be effective.

  (5y^4 +4y^3) +(10y +8)

  = y^3(5y +4) +2(5y +4)

  = (y^3 +2)(5y +4)

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