Question

1. Indique el número de factores primos en:
P(x) = 1 + x(x + 1)(x + 2)(x + 3)

Answer 1

Respuesta:

$1 + x(x + 1)(x + 2)(x + 3) \\ 1 + ( {x}^{2} + 3x)( {x}^{2} + 3x + 2)$

${x}^{2} + 3x = a$

$1 + (a)(a + 2) \\ 1 + {a}^{2} + 2a \\ {a}^{2} + 2a + 1 \\ {(a + 1)}^{2} \\ ( {x}^{2} + 3x + 1)^{2}$

$p(x) = ( {x}^{2} + 3x + 1)^{2}$