Answer:
x = - 4, x = - [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
To find the zeros let g(x) = 0, that is
(- 5x - 1)(2x + 8) = 0 ← in standard form
Equate each factor to zero and solve for x
- 5x - 1 = 0 ( add 1 to both sides )
- 5x = 1 ( divide both sides by - 5 )
x = [tex]\frac{1}{-5}[/tex] = - [tex]\frac{1}{5}[/tex]
2x + 8 = 0 ( subtract 8 from both sides )
2x = - 8 ( divide both sides by 2 )
x = - 4
Thus
smaller x = - 4
larger x = - [tex]\frac{1}{5}[/tex]
