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

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

anonymous · Answer

2c2 + 4cd + 3c + 3d does not factor.
 
4g2 + 12gh + 5g + 15h
 Group:
 (4g2 + 12gh) + (5g + 15h)
 Factor out the common factors:
 4g (g + 3h) + 5 (g + 3h) 
Use the distributive property:
 (g + 3h) (4g + 5)

anonymous · Answer

What are you talking about? 2c2 + 4cd + 3c + 3d certainly does factor.
I am assuming that this is 2c^2 + 4cd + 3c + 3d

Group the terms (2c^2 + 4cd) + (3c + 3d)

Factor common factor: 2c(c + d) + 3(c + d)
(c + d)(2c + 3)