SOLUTION: what are the x-intercept of this equation "2x^3+15x^2+36x+9=0"

Question 970970: what are the x-intercept of this equation "2x^3+15x^2+36x+9=0"
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i was only able to find the x-intercept by graphing.
this expression does not have rational roots so the rational roots test failed.
all other tests failed.
i tried 2 online factoring calculators and they couldn't factor it.
those calculator can be found at:
http://www.tiger-algebra.com/
http://www.mathportal.org/calculators/polynomials-solvers/polynomial-factoring-calculator.php
the only other recourse was to graph it and see where the zero crossing are.
the x-intercept is at x = .2828575.
there is only one x-intercept.
the equation was not able to be factored in any of the usual ways.
the graphing solution is shown below:
$$$

the answer shown there is rounded.
i was able to get more decimal places using my TI-84 Plus graphing calculator.
RELATED QUESTIONS
X^(3)+2x^(2)-36x-72 Solve the... (answered by Timnewman)

What are all the real solutions for this polynomial equation? 15x^4 - 15x^3 + 15x - 15 = (answered by Alan3354)

What are the factors of this expression... (answered by fractalier)

I am a mom who is trying to help my 11th grade daughter with her algebra. I remember a... (answered by pwac)

4x^3+x^2-36x-9=0 (answered by Earlsdon)

I am having problems solving this equation {{{x^3-6x^2-15x-8=0}}} This is what I have... (answered by Earlsdon)

Hello, Could you help me with this equation: Solve and correct the error.... (answered by ikleyn)

Please help me condense the logarithmic expression: {{{ log(x) + log((x^2-36)) - log(15) (answered by Alan3354)

Solve the equations by a method of your choice. 4x^2+15x+9=0 x^2-8x+16=0... (answered by rwm,stanbon,ewatrrr)