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katen-ka-za [31]
4 years ago
8

Is the given linear expression a factor if the polynomial?f(x) = 2x^3 + x^2 - 5x + 2; x + 2​

Mathematics
1 answer:
Minchanka [31]4 years ago
7 0

Answer:

Yes.

Step-by-step explanation:

Given:  f(x) = 2x^3 + x^2 - 5x + 2; x + 2​

If x + 2 is a factor of f(x),  then , by the Factor Theorem,  f(-2) = 0.

So we check if this is so:

f(-2) = 2(-2)^3 + (-2)^2 - 5(-2) + 2

=  -16 + 4 + 10 + 2

= -16 + 16 = 0.

So Yes x + 2 is a factor.

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Voy a responder en el mismo idioma en que está la pregunta.

1) Venta con ganancia

Precio de venta 60 soles.

Ganancia = 20% del costo => costo + 0,20 * costo =  precio

=> costo (1 + 0,20) = precio = 60 soles

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Pérdida = 20% del costo

=> costo - precio = 20% * costo => costo - 0,20*costo = precio

=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles

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3) Costo total = 50 soles + 75 soles = 125 soles

4) Ganancia total = valor total de venta - costo total

Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.

El signo negativo significa que al final se perdió 5 soles en la operación.
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