Question

Ejercicio 19: Extrae factor común:


a) p(x) = 4x^5+ 2x^4+ 6x^3- 10x^2
b) q(x) = x + 3x^4- 5x² + 4x^3
c) (x) = 3x² - 6x​

Answer 1

a)

$4 {x}^{5} + 2 {x}^{4} + 6 {x}^{3} - 10 {x}^{2} \\ 2 {x}^{2} (2 {x}^{3} + {x}^{2} + 3 x - 5 )$

b)

$x + 3 {x}^{4} - 5 {x}^{2} + 4 {x}^{3} \\ x(1 + 3 {x}^{3} -5x + 4 {x}^{2})$

c)

$3 {x}^{2} - 6x \\ 3x(x - 2)$