Answer:
x = - 2, x = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
f(x) = (- x - 2)(- 2x - 3)
To find the zeros equate f(x) to zero, that is
(- x - 2)(- 2x - 3) = 0
Equate each factor to zero and solve for x
- x - 2 = 0 ( add 2 to both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
- 2x - 3 = 0 ( add 3 to both sides )
- 2x = 3 ( divide both sides by - 2 )
x = - [tex]\frac{3}{2}[/tex]
Thus
smaller x = - 2
larger x = - [tex]\frac{3}{2}[/tex]
