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 + 4cd + 3c + 3d
4g2 + 12gh + 5g + 15h

Answer 1

For the first one:

2c(c + 2d) + 3(c+d)

The method will not work because there are no common factors in either term.

Answer 2

For the second one:
4g(g+3h) + 5(g+3h)

This method will work because we have a common factor: g + 3h. Factoring it out gives us a complete factored form of:
(g+3h)(4g+5)

Answer 3

Thanks so much @Hero

Answer 4

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Answer 5

Click "best response"

Answer 6

thanks again:)