Question

1. Fatore as expressões:
a) m^2 + mx + mb + bx =
b) 3a^2 + 3 + ba^2 + b =
c) x^3 + 3x^2 + 2x + 6 =
d) x^3 + x^2 + x + 1 =
e) x^3 - x^2 + x - 1 =
f) x^3 + 2x^2 + xy + 2y =
g) x^2 + 2x + 5x + 10 =
h) x^8 - 5x^2 + 4x - 20 =

Answer 1

A ) m2 + mx + mb + bx
m ( m + b ) + x ( m + b )
( m + x )( m + b )

B ) 3a2 + 3 + ba2 + b
3 ( a2 + 1 ) + b ( a2 + 1 )
( 3 + b )( a2 + 1 )

C ) x3 + 3x2 + 2x + 6
x ( x2 + 2 ) + 3 ( x2 + 2 )
( x + 3 ) + ( x2 + 2 )

D ) x3 + x2 + x + 1
x2 ( x + 1 ) + 1 ( x + 1 )
( x2 + 1 )( x + 1 )

E ) x3 - x2 + x - 1
x2 ( x - 1 ) + 1 ( x - 1 )
( x2 + 1 )( x - 1 )

F ) x3 + 2x2 + xy + 2y
x2 ( x + 2 ) + y ( x + 2 )
( x2 + y )( x + 2 )

G ) x2 + 2x + 5x + 10
x ( x + 2 ) + 5 ( x + 2 )
( x + 5 )( x + 2 )

H ) x3 - 5x2 + 4x - 20
x2 ( x - 5 ) + 4 ( x - 5 )
( x2 + 4 )( x + 5 )