SOLUTION: factor completely 8x^4-64x^3+24x^2

Algebra ->  Test -> SOLUTION: factor completely 8x^4-64x^3+24x^2      Log On


   

Question 421467: factor completely
8x^4-64x^3+24x^2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
expression is:

8x^4-64x^3+24x^2

factor out an 8 to get:

8 * (x^4 - 8x^3 + 3x^2)

factor out an x^2 to get:

8 * x^2 * (x^2 - 8x + 3)

i don't believe this can be factored any more without resorting to the quadratic formula for deriving the roots of a quadratic equation.

i doubt they want you to go that far, but if they did, your answer would then be:

8 * x^2 * (x - 7.605551275) * (x - .394448725)

i would go with a solution of:

8 * x^2 * (x^2 - 8x + 3)