Question

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?

Answer 1

u should 1st take 3 out as common factor

Answer 2

?

Answer 3

x^3+9x^2y-8xy-72y^2

Answer 4

...I need complete sentences... not what your giving me, thank u though

Answer 5

now think of grouping

Answer 6

which pair do u think is better for it

Answer 7

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^2-24y) (x+9y)
To check for the accuracy, expand the terms to see if you can get the same polynomial as that in the question.

Answer 8

Does tht make sense?

Answer 9

Yes

Answer 10

k :)