Question

3x^+5x+2=0
need work shown plz

Answer 1

x=-2/3 and x=-1

factored form

(3x+2)(x+1)

[Let me know if there is another method your instructor wanted you to use]

Explanation:

Given:

`3x^2+5x+2=0`

Factor using the quadratic formula:

`x=(-b+-√(b^2-4(a)(c)) )/(2a)`

`x=(-5+-√((5)^2-4(3)(2)) )/(2(3))`

`x=(-5+-√(25-24) )/(6)`

`x=(-5+-√(1) )/(6)`

`x=(-5+1)/(6)` and
`x=(-5-1)/(6)`

Finally:

`x=-2/3` and
`x=-1`

Written in factored form would be:

`(3x+2)(x+1)`

Answer 2

`{3x}^(2) + 5x + 2 \\ = {3x}^(2) + 3x + 2x + 2 \\ = 3x(x + 1) + 2(x + 1) \\ = (3x +2)(x + 1)`