1.

Factorise the 24+5x-x^2

Answer»

\large\fbox\red{Answer}

24 + 5x -  {x}^{2}  \\  \\  =  -  {x}^{2}  + 5x + 24 \\  \\  =  - ( {x}^{2}  - 5x - 24) \\  \\  =  {x}^{2}  - 5x - 24 \\  \\  =  {x}^{2}  - (8 - 3)x - 24 \\  \\  =   {x}^{2}  - 8x + 3x - 24 \\  \\  = x(x - 8) + 3(x - 8) \\  \\  = (x - 8)(x + 3)



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