SOLUTION: Factor Completely a^3-4a^2+3a-12

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Factor Completely a^3-4a^2+3a-12      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 28651: Factor Completely
a^3-4a^2+3a-12
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
Factor Completely
a^3-4a^2+3a-12
=(a^3-4a^2)+(3a-12) by additive associativity
=a^2(a-4)+3(a-4)
=a^2p+3p where p=(a-4)
=p(a^2+3)
=(a-4)(a^2+3)
Answer: (a-4)(a^2+3)