SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{343c^3+8}}} I really appriciate it. I am not getting this section at all.

Algebra ->  Functions -> SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{343c^3+8}}} I really appriciate it. I am not getting this section at all.      Log On


   



Question 121498: Can you help me solve the following problem. It is to Factor the polynomial completely.
343c%5E3%2B8
I really appriciate it. I am not getting this section at all.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

343c%5E3%2B8
since 343 is NOT a prime number, we can write it as:+343+=+7+%2A+7+%2A+7=7%5E3 and 8 as 2%5E3
so, we will have:
7%5E3c%5E3+%2B+2%5E3
%287c%29%5E3+%2B+2%5E3.........apply a sum of cubes rule:%28a+%2Bb%29%28a%5E2+-+ab+%2Bb%5E2%29
%287c+%2B+2%29%28+%287c%29%5E2+-+14c+%2B+4%29.........%287c%29%5E2+-+14c+%2B+4%29.........
cannot be factored
so, your answer is:
highlight%28%287c+%2B+2%29%2849c%5E2+-+14c+%2B+4%29%29.........