Question

x la 3 - x la 2 -14x+24 ----------- Descompuneti in factori

Answer 1

x^3-x^2-14x+24= (x-2)(x-3)(x+4)

Pasi de rezolvare:
x^2(x-2)+x^2-12x-2x+24
x^2(x-2)+x(x-2)-12(x-2)
(x-2)(x^2+x-12)
(x-2)(x^2+4x-3x-12)
(x-2)(x-3)(x+4)

Answer 2

Pai putem face un artificiu de calcul adica sa-l descompunem pe -14x
=x^3-x^2 -2x-12x+24      (^=la puterea a)
=x(x^2-x-2)-12(x-2)
=x(x^2+x-2x-2)-12(x-2)
=x(x(x+1)-2(x+1))-12(x-2)
=x(x+1)(x-2)-12(x-2)
Avem x-2 factor comun
=(x-2)(x(x+1)-12)

=(x-2)(x^2+x-12)
=(x-2)(x^2-3x+4x-12)
=(x-2)(x(x-3)+4(x-3)
=(x-2)(x+4)(x-3)
Sper ca te-am ajutat