Question

El factor lineal de la expresión: E(x) = (X-8)(X-7)(X-6) + (X-7)(X-6) -x+6 es:
a) X-8 b) X-7 c) X+6 d) X e) X-1

mostrar desarrollo.

Answer 1

E(x) = (x-8)(x-7)(x-6) + (x-7)(x-6) - x + 6

E = (x-8)(x-7)(x-6) + (x-7)(x-6) - (x-6)

E = (x-6) [ (x-8)(x-7) + (x-7) - 1 ]

E = (x-6) [ x² -15x + 56 + x - 7 - 1 ]

E = (x-6) (x² -14x + 48)

E = (x-6) (x-6) (x-8)

E = (x-8) (x-6)²

R/ a) factor lineal (x-8)