Question

Determine whether the following polynomials can be factored by grouping. If so, factor the polynomials showing all work. If not, explain why this method will not work.

4x2 + 12xy + 2x + 2y
3m2 + 6mn + 7m + 14n

Answer 1

just try to take common in both the equations like in first equation from 4x2+12xy you can write 4x(x+12y) similarly process ahead

Answer 2

can you do some of it ?

Answer 3

but in the first equation you can't factor by grouping like 4x(x+12y) has nothing common with 2(x+y)..so you can't make group here

Answer 4

and if it would have had the structure 4x(x+12y) and 2(x+12y) we would have written (4x+2)(x+12y)

Answer 5

hope you got it

Answer 6

yes

Answer 7

cool