把下列多项式分解因式:x눀-x-6

2026年09月27日 03:18
有3个网友回答
网友(1):

x” - x - 6
= x” + 2x - 3x - 6
= x( x + 2 ) - 3( x + 2 )
= ( x + 2 )( x - 3 )
或者
= x” - 3x + 2x - 6
= x( x - 3 ) + 2( x - 3 )
= ( x + 2 )( x - 3 )
或者配方
= (1/4)[ 4x” - 4x - 24 ]
= (1/4)[ 4x” - 4x + 1 - 25 ]
= (1/4)[ ( 2x - 1 )” - 5” ]
= (1/4)( 2x - 1 + 5 )( 2x - 1 - 5 )
= (1/4)( 2x + 4 )( 2x - 6 )
= ( x + 2 )( x - 3 )

网友(2):

(x-3)(x+2)

网友(3):

(x-3)(x+2)