一道因式分解题,
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一道因式分解题,
这是一个典型,
二次三项式 x" ± 5x ± 6 ,
四种情况都能分解因式
x" + 5x + 6
= x" + 2x + 3x + 6
= x( x + 2 ) + 3( x + 2 )
= ( x + 2 )( x + 3 )
x" - 5x + 6
= x" - 2x - 3x + 6
= x( x - 2 ) - 3( x - 2 )
= ( x - 2 )( x - 3 )
x" - 5x - 6
= x" + x - 6x - 6
= x( x + 1 ) - 6( x + 1 )
= ( x + 1 )( x - 6 )
x" + 5x - 6
= x" - x + 6x - 6
= x( x - 1 ) + 6( x - 1 )
= ( x - 1 )( x + 6 )
二次三项式 x" ± 5x ± 6 ,
四种情况都能分解因式
x" + 5x + 6
= x" + 2x + 3x + 6
= x( x + 2 ) + 3( x + 2 )
= ( x + 2 )( x + 3 )
x" - 5x + 6
= x" - 2x - 3x + 6
= x( x - 2 ) - 3( x - 2 )
= ( x - 2 )( x - 3 )
x" - 5x - 6
= x" + x - 6x - 6
= x( x + 1 ) - 6( x + 1 )
= ( x + 1 )( x - 6 )
x" + 5x - 6
= x" - x + 6x - 6
= x( x - 1 ) + 6( x - 1 )
= ( x - 1 )( x + 6 )