SOLUTION: Find all the zeros and their multiplicities for the polynomial function: f(x) = −2x5 + 12x4 − 18x3.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all the zeros and their multiplicities for the polynomial function: f(x) = −2x5 + 12x4 − 18x3.      Log On


   

Question 380590: Find all the zeros and their multiplicities for the polynomial function: f(x) = −2x5 + 12x4 − 18x3.
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all the zeros and their multiplicities for the polynomial function:
f(x) = −2x^5 + 12x^4 − 18x^3.
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f(x) = -2x^3(x^-6x+9)
= -2x^3(x-3)^2
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Zeroes:
x = 0 with multiplicity 3
x = 3 with multiplicity 2
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

solving f(x) = -2x^5 + 12x^4 - 18x^3

 -2x^3( x^2 -6x +9) = 0

 -2x^3(x-3)(x-3) = 0

 -2x^3= 0

  x = 0

  (x-3)(x-3) = 0

  x = 3