Answer:
The factors are: (x - 8) and (x + 7)
Step-by-step explanation:
Given
[tex]x^2 - x - 56 = 0[/tex] -- the right equation
Required
Select the factors of the equation
[tex]x^2 - x - 56 = 0[/tex]
Expand the equation
[tex]x^2 + 7x - 8x - 56 = 0[/tex]
Factorize:
[tex]x(x+7)-8(x+7) =0[/tex]
Factor out x + 7
[tex](x-8)(x+7) =0[/tex]
Hence, the factors are: (x - 8) and (x + 7)
