mindykidd1175 mindykidd1175
  • 22-11-2022
  • Mathematics
contestada

write a polynomial equation with integer coefficients that has the given roots
x=0
x=-5
x=4
​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-11-2022

Answer:

  y = x³ +x² -20x

Step-by-step explanation:

You want a polynomial with roots x ∈ {0, -5, 4}.

Factors

When a polynomial has a root p, it has a factor (x -p). The three given roots mean the polynomial you want can be factored as ...

  y = (x -0)(x -(-5))(x -4) = x(x+5)(x-4)

When this product is expanded, the result is ...

  y = x³ +x² -20x . . . . polynomial with roots {0, -5, 4}

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