Pritchard Powers
01/21/2023 · Senior High School
1. Hallar todas las raíces de \( P(x)=x^{3}-8 x^{2}+21 x-18 \) y factorizarlo. b) Hallar el dominio y el conjunto solución de siguiente ecuación: \[ \frac{P(x)}{x^{2}-36}=0 \] \( (P(x) \) es el polinomio del ítem anterior \( ) \)
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Para encontrar las raíces de \( P(x) = x^3 - 8x^2 + 21x - 18 \), usamos el teorema del resto y factorizamos \( P(x) \) como \( (x - 2)(x - 3)^2 \). Las raíces son \( x = 2 \) y \( x = 3 \). Para la ecuación \( \frac{P(x)}{x^2 - 36} = 0 \), el dominio es \( \mathbb{R} \setminus \{-6, 6\} \) y el conjunto solución es \( \{2, 3\} \).
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