Question

fatore os polinômios por agrupamento
a) 7a - 7c + ma - mc
b) a³ + 3a² + 2a + 6
c) x³ - x² + 5x - 5

Answer 1

a
(7a - 7c ) + ( ma - mc)
7 ( a - c) + m ( a - c)  =
( 7 + m) ( a - c) ****
b
( a³ + 3a² ) + ( 2a + 6) =
a² ( a + 3) + 2 ( a + 3) =
( a² + 2) ( a + 3) ***
c
( x³ - x² ) + ( 5x - 5) =
x² ( x - 1) + 5 ( x - 1) =
( x² + 5) ( x - 1) ***

Answer 2

a) 7a - 7c + ma - mc ==>  7(a - c) + m(a - c) ==>  (7+ m)(a - c) 

b) a³ + 3a² + 2a + 6 ==> a²(a + 3) + 2(a + 3) ==> ( a² + 2)(a + 3) 

c) x³ - x² + 5x - 5 ==> x²(x - 1) + 5(x - 1) ==> ( x² + 5)(x - 1)