Question

Factorie : x^2 - 5x - 24

Answer 1

Answer:

-3 and 8

Step-by-step explanation:

x^2 - 5x - 24

x^2-8x+3x-24

x(x-8)+3(x-8)

x=-3 or x=8

Hope it helps.

Answer 2

Answer:

$\boxed{\sf (x - 8)(x + 3)}$

Step-by-step explanation:

$\sf Factor \: the \: following: \\ \sf \implies {x}^{2} - 5x - 24 \\ \\ \sf The \: factors \: of \: - 24 \: that \: sum \: to \: - 5 \\ \sf are \: 3 \: and \: - 8. \\ \\ \sf So, \\ \sf \implies {x}^{2} - (8 - 3)x - 24 \\ \\ \sf \implies {x}^{2} - 8x + 3x - 24 \\ \\ \sf \implies x(x - 8) + 3(x - 8) \\ \\ \sf \implies (x - 8)(x + 3)$