SOLUTION: Find All solutions: 0=3x^3+8x^2+6x+16

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Question 676347: Find All solutions: 0=3x^3+8x^2+6x+16
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E3%2B8x%5E2%2B6x%2B16=0...group
%283x%5E3%2B6x+%29%2B%288x%5E2%2B16%29=0
3x%28x%5E2%2B2+%29%2B8%28x%5E2%2B2%29=0

%283x%2B8%29+%28x%5E2%2B2%29=0
solutions:
if 3x%2B8=0......=>....3x=-8......=>....x=-8%2F3=>....x=-2%282%2F3%29
if %28x%5E2%2B2%29=0......=>....x%5E2=-2......=>....x=sqrt%28-2%29, than
x=i%2Asqrt%282%29 and x=-i%2Asqrt%282%29

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+30%2C+3x%5E3%2B8x%5E2%2B6x%2B16%29+