var('s')
(s^4+6*s^3+8*s^2+25*s)/(6*s+6)
1/6*(s^4 + 6*s^3 + 8*s^2 + 25*s)/(s + 1) 1/6*(s^4 + 6*s^3 + 8*s^2 + 25*s)/(s + 1) |
solve((s^4+6*s^3+8*s^2+25*s)/(6*s+6),s)
[s == -1/2*(I*sqrt(3) + 1)*(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) + 1/3*(2*I*sqrt(3) - 2)/(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) - 2, s == -1/2*(-I*sqrt(3) + 1)*(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) + 1/3*(-2*I*sqrt(3) - 2)/(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) - 2, s == (1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) + 4/3/(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) - 2, s == 0] [s == -1/2*(I*sqrt(3) + 1)*(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) + 1/3*(2*I*sqrt(3) - 2)/(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) - 2, s == -1/2*(-I*sqrt(3) + 1)*(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) + 1/3*(-2*I*sqrt(3) - 2)/(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) - 2, s == (1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) + 4/3/(1/18*sqrt(3)*sqrt(16619) - 25/2)^(1/3) - 2, s == 0] |
var('s')
f1=plot((s^4+6*s^3+8*s^2+25*s)/(6*s+6),-100,100,color="red")
show (f1,xmin=-50, xmax=50, ymin=-50, ymax=50)
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def synthetic_division(polynomial, x):
value = 0
quotient = []
for coefficient in polynomial:
value = value*x + coefficient
quotient = quotient + [value]
return quotient
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#Divide x²+10x+21 by x+3.
synthetic_division([1, 10, 21], -3)
[1, 7, 0] [1, 7, 0] |
synthetic_division([1, 6, 8, 1,0], -1)
[1, 5, 3, -2, 2] [1, 5, 3, -2, 2] |
x = -1
quotient = []
value = 0
for coefficient in [1, 6, 8, 1,0]:
value = value*x + coefficient
quotient = quotient + [value]
print quotient
[1] [1, 5] [1, 5, 3] [1, 5, 3, -2] [1, 5, 3, -2, 2] [1] [1, 5] [1, 5, 3] [1, 5, 3, -2] [1, 5, 3, -2, 2] |
#Revisar http://www.wolframalpha.com/input/?i=%28s^4%2B6*s^3%2B8*s^2%2B25*s%29%2F%286*s%2B6%29
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derivative((s^4+6*s^3+8*s^2+25*s)/(6*s+6),s)
1/6*(4*s^3 + 18*s^2 + 16*s + 25)/(s + 1) - 1/6*(s^4 + 6*s^3 + 8*s^2 + 25*s)/(s + 1)^2 1/6*(4*s^3 + 18*s^2 + 16*s + 25)/(s + 1) - 1/6*(s^4 + 6*s^3 + 8*s^2 + 25*s)/(s + 1)^2 |
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