Question

Find the zeros of the function.

Write the smaller solution first, and the larger solution second.
g(x)=(-5x– 1)(2x + 8)
smaller x=
larger x =

Answer 1

x = - 4, x = -
`(1)/(5)`

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 =
`(1)/(-5)` = -
`(1)/(5)`

2x + 8 = 0 ( subtract 8 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

Thus

smaller x = - 4

larger x = -
`(1)/(5)`