SOLUTION: Factor the common factor out of the expression. Please show work. -24x^6-4x^4 +12x^3 +4x^2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Factor the common factor out of the expression. Please show work. -24x^6-4x^4 +12x^3 +4x^2      Log On


   



Question 1001940: Factor the common factor out of the expression. Please show work.
-24x^6-4x^4 +12x^3 +4x^2

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
-24x%5E6-4x%5E4+%2B12x%5E3+%2B4x%5E2

We look for an integer to factor out:
The largest integer that will divide into the absolute values
of the coefficient 24,4,12, and 4, is 4. So we would factor out 4,
but since the leading term would be negative and we like it to be
positive, we will factor out a -4 instead

We look for a letter to factor out:
The smallest power of x that occurs in every term is x2, so we
also factor out x2.  So we factor out -4x2. 

-24x%5E6-4x%5E4+%2B12x%5E3+%2B4x%5E2

Divide the term -24x%5E6 by -4x%5E2 and get 6x%5E4
Divide the term -4x%5E4 by -4x%5E2 and get %22%22%2Bx%5E2
Divide the term %22%22%2B12x%5E3 by -4x%5E2 and get -3x
Divide the term %22%22%2B4x%5E2 by -4x%5E2 and get -1

So we write those in parentheses after the -4x%5E2:
-4x%5E2%286x%5E4%2Bx%5E2-3x-1%29

Edwin