Question

Solve the equation:
x^3+3x^2+5x+3=0

Answer 1

we can see if it has any rational zeros
we could let at + or -1
and + or - 3

Answer 2

x=-1

Answer 3

x = -1 , -1 -√2i , -1 + √2i
http://www.wolframalpha.com/input/?i=x^3%2B3x^2%2B5x%2B3%3D0

Answer 4

Wait what's the rest though?

Answer 5

-1 | 1 3 5 3
| -1 -2 -3
_______________
1 2 3| 0
since the remainder is 0 then x=-1 is a zero
also x-1 is a factor just like like x^2+2x+3 is a factor of the polynomial above
x^2+2x+3=0
solve this for x

Answer 6

Sorry, CAS systems don't like i unless they are set up for it.