Question

Factorise the 24+5x-x^2

Answer 1

$\large\fbox\red{Answer}$

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

• Thnku :)