Question

qual o fator comum da expressão :
x(x-4)+6(x-4)= ????

Answer 1

x(x-4)+6(x-4)
(x+6).(x-4)

Answer 2

$x(x-4)+6(x-4)= \\ x^{2} -4x+6x-24 \\ x^{2} +2x-24$

Se pedir delta:

$Δ=2^{2} -4.1.(-24) \\ Δ=4 +96 \\ Δ=100$
$x= \frac{-2 \frac{+}{-} \sqrt{100}}{2.1}$$x= \frac{-2 \frac{+}{-}10 }{2}$$x1= \frac{-2+10}{2} \\ x1= \frac{8}{2} \\ x1=4 \\ x2= \frac{-2-10}{2} \\ x2= \frac{-12}{2} \\ x2=-6$

O fator comum seria { -6; 4}