Kirk Clark
04/03/2023 · High School

Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \[ 26 h^{10} j^{4}-39 h^{10} j^{3}+13 h^{10} j^{2} \]

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Primero, identificamos el factor común más grande (GCF) de los términos en el polinomio \( 26 h^{10} j^{4}-39 h^{10} j^{3}+13 h^{10} j^{2} \). Los coeficientes son 26, -39 y 13. El GCF de estos números es 13. Además, todos los términos tienen \( h^{10} \) como factor común y el menor exponente de \( j \) es \( j^{2} \). Por lo tanto, el GCF total es \( 13 h^{10} j^{2} \). Ahora, factorizamos el polinomio: \[ 26 h^{10} j^{4}-39 h^{10} j^{3}+13 h^{10} j^{2} = 13 h^{10} j^{2} (2 j^{2} - 3 j + 1) \] Así que el polinomio factorizado es: \[ 13 h^{10} j^{2} (2 j^{2} - 3 j + 1) \]

Quick Answer

El polinomio factorizado es \( 13 h^{10} j^{2} (2 j^{2} - 3 j + 1) \).
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