First factor -1 from the numerator and denominator
-x^3 + 7x^2 + 5x - 75 = -1(x^3 - 7x^2 - 5x + 75)
5 - x = -1(x - 5)
Cancel the -1's
then use synthetic division or long division.
5_1_-7_-5_75
____5_-10_-75
__1_-2_-15_0
(__ represents a space)
Answer: x^2 - 2x - 15 = (x-5)(x+3)
2006-07-11 15:02:10
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answer #1
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answered by MsMath 7
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-x^3 + 7x^2 + 5x - 75 / (5 - x)
=x^3 - 7x^2 - 5x + 75 / (x -5)
=x^2 - 2x - 15
=(x - 5) (x + 3)
2006-07-11 22:15:59
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answer #2
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answered by Mike B 3
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Are you simplifying or factoring or solving (with out an equal sign?) or substituting a number? It helps to tell us what the problem is.
2006-07-11 23:24:39
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answer #3
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answered by raz 5
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N = (-1,7,5,-75) = (n3,n2,n1,n0)
D = (-1,5) = (d1,d0)
deconvolution
N/D = (n3,n2,n1,n0)/(d1,d0) = (a2,a1,a0)
convolution
N/D * D = (a2,a1,a0) * (d1,d0) = (n3,n2,n1,n0)
n3 = d1 * a2
n2 = d1 * a1 + d0 * a2
n1 = d1 * a0 + d0 * a1
n0 = d0 * a0
a2 = n3/d1
a1 = (n2 - d0*a2) / d1
a0 = n0/d0
a2 = -1/-1 = 1
a1 = (7 - 5*1)/-1 = -2
a0 = -75/5 = -15
N/D = (1,-2,-15) = (1,-5)*(1,3)
2006-07-11 22:51:40
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answer #4
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answered by none2perdy 4
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