how many x-intercpts in the equation p(x)=2x^3+6x^2-8
To find the x-intercepts of the equation p(x) = 2x^3+6x^2-8, set the equation equal to zero and solve for x:
2x^3+6x^2-8 = 0
Unfortunately, there is no simple algebraic way to solve a cubic equation like this. You would need to use numerical methods, such as graphing or using a calculator or computer software, to approximate the x-intercepts.