Question

3.Solve for the the values of x by factoring

Answer 1

Step-by-step explanation:

${x}^{2} - 5x - 24 = 0$

${x}^{2} - 8 + 3x - 24 = 0$

$x(x - 8) + 3(x - 8) = 0$

$(x + 3)(x - 8) = 0$

$\boxed{x = - 3 \: or \: x = 8}$

Answer 2

Answer:

x = 8 ; x = -3

Step-by-step explanation:

Sum = -5

Product = - 24

Factors = 3 , (-8)

x² - 5x - 24 = 0

x² - 8x + 3x - 3 * 8 = 0

x(x - 8) + 3(x - 8)= 0

(x - 8)(x + 3) = 0

x - 8 = 0           ;  x + 3 = 0

   x = 8             ; x  = -3