factorising quadratics product method
DESCRIPTION
Product method for factorising quadratic expressionsTRANSCRIPT
6x2 + 7x + 2 = ( ?x + ?)( ?x + ? )
6x2 + 7x + 2 Multiply the first and last terms.
6 x 2 = 12
6x2 + 7x + 2
Separate this number into a different pair of factors
Multiply the first and last terms.
6 x 2 = 12
12 x 1 ?
4 x 3 ?
6x2 + 7x + 2 Multiply the first and last terms.
6 x 2 = 12
Choose the pair that add to make the middle term.
12 x 1 ?
4 x 3 ?
Separate this number into a different pair of factors
6x2 + 7x + 2 Multiply the first and last terms.
6 x 2 = 12
Separate the middle term6x2 + 3x + 4x + 2
= 3( 2x2 + x ) + 2( 2x + 1 )
= 3x( 2x + 1 ) + 2( 2x + 1 )
= ( 3x + 2 )( 2x + 1 )
12 x 1 ?
4 x 3 ?
Separate this number into a different pair of factors
6x2 + 7x + 2 Multiply the first and last terms.
6 x 2 = 12
Separate the middle term6x2 + 3x + 4x + 2
= 3( 2x2 + x ) + 2( 2x + 1 )
= 3x( 2x + 1 ) + 2( 2x + 1 )
= ( 3x + 2 )( 2x + 1 )
12 x 1 ?
4 x 3 ?
Separate this number into a different pair of factors
Factorise and regroup
6x2 + 11x + 4 = ( ?x + ? )( ?x + ? )
6x2 + 11x + 4 = ( ?x + ? )( ?x + ? )
24
6x2 + 11x + 4 = ( ?x + ? )( ?x + ? )
24
1 x 24 ?2 x 12 ?3 x 8 ?
6x2 + 11x + 4 = ( ?x + ? )( ?x + ? )
24
1 x 24 ?2 x 12 ?3 x 8 ?
6x2 + 11x + 4 = ( ?x + ? )( ?x + ? ) = 6x2 + 3x + 8x + 4
24
1 x 24 ?2 x 12 ?3 x 8 ?
6x2 + 11x + 4 = ( ?x + ? )( ?x + ? ) = 6x2 + 3x + 8x + 4
24
1 x 24 ?2 x 12 ?3 x 8 ?
= 3x (2x + 1) + 4( 2x + 1 )
= ( 3x + 4 )(2x + 1)
END