Natep2105
Natep2105 Natep2105
  • 12-12-2018
  • Mathematics
contestada

Factor f(x)=x4+x3-20x2.
List the zeros in order from least to greatest. List any repeated zeros the number of times they are repeated.

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 12-12-2018

Hello from MrBillDoesMath!

Answer:

-5, 0 (multiplicity 2), +4


Discussion:

Let f(x) = x^4 + x ^3 - 20 x^2

Factor x^2 from each term:

f(x) = x^2 ( x^2 + x - 20) = x^2 ( x +5) (x-4)

f = 0 when x = 0 (multiplicity 2) and x = -5 or x = 4



Regards,  

MrB


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