which shows one way to determine the factors of x³ + 11x² - 3x - 33 by grouping?\n○ x²(x + 11) + 3(x…

which shows one way to determine the factors of x³ + 11x² - 3x - 33 by grouping?\n○ x²(x + 11) + 3(x - 11)\n○ x²(x - 11) - 3(x - 11)\n○ x²(x + 11) + 3(x + 11)\n○ x²(x + 11) - 3(x + 11)

which shows one way to determine the factors of x³ + 11x² - 3x - 33 by grouping?\n○ x²(x + 11) + 3(x - 11)\n○ x²(x - 11) - 3(x - 11)\n○ x²(x + 11) + 3(x + 11)\n○ x²(x + 11) - 3(x + 11)

Answer

Answer:

D. $x^{2}(x + 11)-3(x + 11)$

Explanation:

Step1: Agrupar términos

Agrupamos $x^{3}+11x^{2}-3x - 33$ en dos grupos: $(x^{3}+11x^{2})+(-3x - 33)$.

Step2: Factorizar cada grupo

Factorizamos el primer grupo: $x^{2}(x + 11)$. Factorizamos el segundo grupo: $-3(x + 11)$.

Step3: Obtener la forma factorizada

Juntando los resultados, tenemos $x^{2}(x + 11)-3(x + 11)$.