Question

Find the zeros of the function.

write the smaller solution first, and the larger solution second.
F(x)=(-x-2)(-2x-3)
smaller x=
larger x=

Answer 1

x = - 2, x = -
`(3)/(2)`

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 = -
`(3)/(2)`

Thus

smaller x = - 2

larger x = -
`(3)/(2)`