6x2 + 24x - 42...
Middle term factor...
pls it's urgent
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♦ Factorization ♦
→ MID-TERM SPLIT :
• 6x² + 24x - 42 = 6( x² + 4x - 7 )
→ Comparing with the form, ax² + ( m + n )x + c,
◘ ( m + n ) = 4
◘ ( m n ) = ac = -7
=> ( m - n ) = √[ ( m + n )² - 4mn ] = √[ 16 + 28 ] = √44 = 2√11
=> ( m ) = 0.5( 3 + 2√11 ) ; ( n ) = 0.5( 3 - 2√11 )
=> 6x² + 24x - 42 = 6[ x² + 0.5( 3 + 2√11 )x + 0.5( 3 - 2√11 )x - 7 ]
= 6[ x + 0.5( 3 + 2√11 )][ x + 0.5( 3 - 2√11 )]
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Hope that might help ^_^
♦ Factorization ♦
→ MID-TERM SPLIT :
• 6x² + 24x - 42 = 6( x² + 4x - 7 )
→ Comparing with the form, ax² + ( m + n )x + c,
◘ ( m + n ) = 4
◘ ( m n ) = ac = -7
=> ( m - n ) = √[ ( m + n )² - 4mn ] = √[ 16 + 28 ] = √44 = 2√11
=> ( m ) = 0.5( 3 + 2√11 ) ; ( n ) = 0.5( 3 - 2√11 )
=> 6x² + 24x - 42 = 6[ x² + 0.5( 3 + 2√11 )x + 0.5( 3 - 2√11 )x - 7 ]
= 6[ x + 0.5( 3 + 2√11 )][ x + 0.5( 3 - 2√11 )]
___________________________________________________________
Hope that might help ^_^
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