Kathryn014
Kathryn014 Kathryn014
  • 15-05-2018
  • Mathematics
contestada

if (x+1) is a factor of x^3+2x^2-x-2, find the remaining factors.

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mayadc821
mayadc821 mayadc821
  • 15-05-2018
Using synthetic division to divide x³ + 2x² - x - 2.  Since (x + 1) is the factor, we can divide by -1.  See the attached file for the synthetic division.  After that, we are left with x² + x - 2.  This can easily be factored into (x + 2)(x - 1).  The remaining factors are (x + 2) and (x - 1).
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dvclee2
dvclee2 dvclee2
  • 21-05-2019

Answer:

The other factors are (x-1) and (x+2).

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