How do I solve the inequality x^4+11x ≤3(x^3+x^2+2) ?

Question

How do I solve the inequality x^4+11x ≤3(x^3+x^2+2) ?

Answer 1

One.

I found that almost 50% of the time, if you don't know these answers, just put ZERO or ONE as the answer. Yes, that will actually help you get through college.  

Answer 2

Try using synthetic division to work out some factors.  Likely factors are x = 2 and x = 3.  If you don't know how to do synthetic division, here's a great website which explains how to do it very clearly:

http://www.purplemath.com/modules/synthd...

After you find the factors, set them in the inequality (x - c) ≤ 0 and solve for the x value of each factor: (x - c) ≤ 0 ----> x ≤ c.  The solution set is that set which satisfies all the possible x values for the factors.