SOLUTION: factor each polynomical completely: 3x2(xsquared)-18x+27 x3(x to the third)+3x2(x squared)-4x-12 Thanks for the help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor each polynomical completely: 3x2(xsquared)-18x+27 x3(x to the third)+3x2(x squared)-4x-12 Thanks for the help!      Log On


   

Question 79029: factor each polynomical completely:
3x2(xsquared)-18x+27

x3(x to the third)+3x2(x squared)-4x-12
Thanks for the help!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor each polynomical(sic) completely: Cute...but it's really "polynomial".
1)
3x%5E2-18x%2B27+=+%283x-9%29%28x-3%29
2)
x%5E3%2B3x%5E2-4x-12+=+%28x%5E2-4%29%28x%2B3%29 but notice that the %28x%5E2-4%29 is the difference of two squares and this can be factored too:
x%5E2-4+=+%28x%2B2%29%28x-2%29 so, putting it all together, you get:
x%5E3%2B3x%5E2-4x-12+=+%28x%2B2%29%28x-2%29%28x%2B3%29