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

  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.

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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)

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²