2 x 3 + 22 x 2 + 36 x → 2 x ( x 2 + 11 x + 18 ) 2 x ( x 2 + 9 x + 2 x + 18 ) = = 2 x [ x ( x + 9 ) + 2 ( x + 9 )] = = 2 x ( x + 9 ) ( x + 2 )
2 x 3 + 22 x 2 + 36 x = 2 x ( x 2 + 11 x + 18 ) = 2 x ( x 2 + 9 x + 2 x + 18 ) = 2 x ( x ( x + 9 ) + 2 ( x + 9 )) = 2 x ( x + 2 ) ( x + 9 )
To factor 2 x 3 + 22 x 2 + 36 x completely, first factor out 2 x . This leads to 2 x ( x 2 + 11 x + 18 ) , which can further be factored into 2 x ( x + 2 ) ( x + 9 ) .
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