Question

Factorise: x² + 2x – 63 using middle term splitting method​

Answer 1

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• Factorise ${x}^{2} + 2x - 63$

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${x}^{2} + 2x - 63$

$= {x}^{2} - 7x + 9x - 63$

$= x(x -7 ) + 9(x - 7)$

$= (x + 9)(x - 7)$

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• Answer is $(x + 9)(x - 7)$

Answer 2

${x}^{2} + 2x - 63 = 0 \\ {x}^{2} + 9x - 7x - 63 = 0 \\ x(x + 9) - 7(x + 9) = 0$

$(x + 9)(x - 7) = 0 \\ x = - 9 \: and \\ x = 7$

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