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.

2c^2 + 6cd + 5c + 15d
3a^2 + 6ab + 4a + 4b

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

aripotta · Answer

what do you think?

anonymous · Answer

the first one (c + 3d) (2c + 5)

anonymous · Answer

the second one (5c - 7d) (2a + 3b)

aripotta · Answer

how did you get the for the second one

aripotta · Answer

that*

anonymous · Answer

2a + 3b) (5c - 7d)
Multiply the chosen factors together:
10ac - 14ad + 15bc - 21bd
In order to factor that polynomial, being by grouping:
(10ac - 14ad) + (15bc - 21bd)
Factor out the common factors:
2a (5c - 7d) + 3b (5c - 7d)
Use the distributive property:
(5c - 7d) (2a + 3b)

aripotta · Answer

eh? that's not how you do it

aripotta · Answer

you got the first one right though

aripotta · Answer

the second one cannot be factored by grouping

anonymous · Answer

can it be factored at all?

aripotta · Answer

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