leelea
leelea leelea
  • 13-04-2016
  • Mathematics
contestada

what are the zeroes of the polynomial equation?

f(x) = x^2+9x+20

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konrad509
konrad509 konrad509
  • 13-04-2016
[tex]x^2+9x+20=0\\ x^2+4x+5x+20=0\\ x(x+4)+5(x+4)=0\\ (x+5)(x+4)=0\\ x=-5 \vee x=-4[/tex]
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apologiabiology
apologiabiology apologiabiology
  • 13-04-2016
zeroes are when f(x)=0
0=x^2+9x+20
factor
0=(x+4)(x+5)
set each to zero
x+4=0
x=-4
x+5=0
x=-5

zeroes are f(-5) and f(-4)
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