Question

P(x) = x³ - 3x²-10x + 24​

Answer 1

Respuesta ✅

Factores de x³-3x²-10x + 24

Factores de x³-3x²-10x + 24 = (x-2) (x-4) (x + 3)

Explicación paso a paso:

Sea el poliomio p (x) = x³-3x²-10x + 24

= x³ + (- 2x²-x²) + (2x-12x) +24

= (x³-2x²) + (- x² + 2x) + (- 12x + 24)

= x² (x-2) -x (x-2) -12 (x-2)

= (x-2) (x²-x-12)

= (x-2) (x²-4x + 3x-12)

= (x-2) [x (x-4) +3 (x-4)]

= (x-2) [(x-4) (x + 3)]

= (x-2) (x-4) (x + 3)

Por lo tanto,

Factores de x³-3x²-10x + 24

= (x-2) (x-4) (x + 3)