Sunday

September 21, 2014

September 21, 2014

Posted by **Rinchan** on Sunday, October 20, 2013 at 8:57am.

- advanced functions -
**Reiny**, Sunday, October 20, 2013 at 9:28am12x^3 + 8x^2 ≤ 3x + 2

12x3 + 8x^2 - 3x - 2 ≤ 0

after some trial and errors where I tried

x = ±1, ±2, etc, I found

x = ±1/2 and x = -2/3 give me zero

12x3 + 8x^2 - 3x - 2 ≤ 0

(2x-1)(2x+1)(3x+2) ≤ 0

knowing the behaviour of

y = 12x3 + 8x^2 - 3x - 2

and having x-intercepts of -2/3, -1/2 and +1/2

the solution would be

x ≤ -2/3 OR -1/2 ≤ x ≤ 1/2

confirmation:

http://www.wolframalpha.com/input/?i=plot+12x3+%2B+8x%5E2+-+3x+-+2+≤+0

**Answer this Question**

**Related Questions**

Advanced Functions - how do i solve this linear inequality equation x+2 divided ...

Algebra 2(check) cont.. - 1)solve the inequality -3(r-11)+15>_9 my answer = r...

Algebra - For the first phase of the project, imagine you want to cover the ...

math. can someone do this for me please.... - * Consider the functions f(x)=1/x...

Reiny and steve do this for me please - 1. Consider the functions f(x)=1/(x)+4 ...

math - Suppose you want to cover the backyard with decorative rock and plant ...

math 116 appendix d - b) Suppose you want to cover the backyard with decorative ...

algebra - 1. You are planning to spend no more than $10,000 and no less than $8,...

alg. - 1. You are planning to spend no less than $6,000 and no more than $10,000...

math advanced functions grade 12 - Find the solution set to the following ...