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6. Efectuar: \( \mathrm{k}=(\mathrm{x}-1)(\mathrm{x}+4)(\mathrm{x}-3)(\mathrm{x}+2)-(\mathrm{x}-2)(\mathrm{x}+3)(\mathrm{x}+5)(\mathrm{x}-4) \) \( -12\left(\mathrm{x}^{2}+\mathrm{x}-1\right) \) \( \begin{array}{lll}\text { a) } 20 & \text { b) } 5 & \text { c) } 0 \\ \text { d) }-84 & \text { e) } 1 & \end{array} \)

Ask by Johnson Dickson. in Peru
Jan 21,2025

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La respuesta es -84, opción d).

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Primero, ¿sabías que los polinomios que estás trabajando son una parte fundamental del álgebra y tienen increíbles aplicaciones en la ingeniería y la física? Resuelven ecuaciones que describen desde el movimiento de los objetos hasta el comportamiento de circuitos eléctricos. Además, los polinomios pueden tener múltiples raíces, lo que los hace fascinantes en el estudio del cálculo y la teoría de números. Ahora, si estás intentando simplificar la expresión para calcular \( k \), un buen consejo es que empieces desarrollando cada parte por separado y luego combines todos los términos. Recuerda prestar atención a los signos y a las operaciones de suma y resta. Un error común es no agrupar las influencias de cada parte correctamente, lo que puede llevar a resultados muy diferentes. ¡Así que ve paso a paso!

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