SOLUTION: Factor and solve for ALL roots of the polynomial function. 64m^3-27=0 I Know that a is 4m and I think b is -3. I think my set up for the equation is right but I am not positiv

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor and solve for ALL roots of the polynomial function. 64m^3-27=0 I Know that a is 4m and I think b is -3. I think my set up for the equation is right but I am not positiv      Log On


   

Question 1027495: Factor and solve for ALL roots of the polynomial function.
64m^3-27=0
I Know that a is 4m and I think b is -3.
I think my set up for the equation is right but I am not positive I wrote down
(4m-3)(4m^2+12m-3)
Found 2 solutions by richard1234, MathTherapy:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Your factoring is incorrect (the constant term is -27 but in your factoring it is 9).

A correct way is the following:



for n = 0,1,2

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Factor and solve for ALL roots of the polynomial function.
64m^3-27=0
I Know that a is 4m and I think b is -3.
I think my set up for the equation is right but I am not positive I wrote down
(4m-3)(4m^2+12m-3)
Wherever you copied this from, you should've written: %284m+-+3%29%28%284m%29%5E2+%2B+12m+-+3%5E2%29. You should notice that you didn't square

the 4m and the 3. This now gives you: %284m+-+3%29%2816m%5E2+%2B+12m+-+9%29+=+0, which results in m+=+3%2F4, and by using the quadratic

equation formula, or completing the square, the other 2 real roots can be found