Question

Fatore os seguintes polinômios:
A) a² +ab+ax+bx:
B)ax-x+ab-b:
C)cx+x+c+1:
D)a3 +a²- a -1:

Answer 1

A)
a² + ab + ax + bx
a(a + b) + x(a + b)
(a + b)( a + x)
B)
ax - x + ab - b
x(a - 1) + b(a - 1)
(a - 1)(a + b)
C)
cx + x + c + 1
x(c + 1) + (c + 1)
(c + 1)(x + 1)
D)
a³ + a² - a - 1
a²(a + 1) - (a + 1)
(a + 1)(a² - 1)
(a + 1)(a + 1)(a - 1)
(a + 1)²(a -1)