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.
2c2 + 6cd + 5c + 15d
3a2 + 6ab + 4a + 4b

Answer 1

2c^2 + 6cd + 5c + 15d
2c(c+3d) + 5(c+3d)
(c+3d)(2c+5)

Answer 2

3a2 + 6ab + 4a + 4b

Does not work because:

3a(a+2)+4(a+b) cannot be simplified to a multiplication of two binomials

Answer 3

thank you