2020kimberlyr 2020kimberlyr
  • 03-07-2020
  • Mathematics
contestada

what polynomial has roots of -5, - 4 and 1​

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 03-07-2020

Answer:

[tex]\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1

[tex](x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20[/tex]

hope this helps

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