Explain, in complete sentences, how you would completely factor 3x3 + 27x2y – 24xy – 216y2 by using the grouping method. How would you check your factors for accuracy?

Question

callisto · Answer

First group the terms with common factors
3x^3 + 27x^2y – 24xy – 216y^2 
= 3x^2 (x+9y) - 24y(x+9y)
Then, take out the common factor again
= (3x^2-24) (x+9y)
To check for the accuracy, expand the terms to see if you can get the same polynomial as that in the question

callisto · Answer

Sorry, it should be 
Then, take out the common factor again
= (3x^2-24y) (x+9y)

anonymous · Answer

Thanks <3 I didnt understand the accuracy part!

callisto · Answer

welcome

callisto · Answer

Do you understand it now?

mrsmarsh · Answer

Contact your FLVS teacher for help with assignments/questions you don't understand.  Using answers posted here is considered cheating.

anonymous · Answer

whats flvs?