Factor. 2wx + 4w + 7x + 14 ______

Group Terms: Group the terms to find common factors. Group the terms in pairs to see if there are common factors that can be factored out. Grouping: (2wx + 4w) + (7x + 14)Factor Common Factors: Factor out the greatest common factor from each group. From the first group (2wx + 4w), we can factor out 2w. From the second group (7x + 14), we can factor out 7. Factored form: 2w(x + 2) + 7(x + 2)Factor Greatest Common Factor: Factor out the common binomial factor. Both groups now have a common binomial factor (x + 2). Factor out the common binomial factor: (x + 2)(2w + 7)

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Factor. $\newline$ $2wx + 4w + 7x + 14$

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Q. Factor.

\newline

2wx + 4w + 7x + 14

Group Terms: Group the terms to find common factors. $\newline$ Group the terms in pairs to see if there are common factors that can be factored out. $\newline$ Grouping: $(2wx + 4w) + (7x + 14)$
Factor Common Factors: Factor out the greatest common factor from each group. $\newline$ From the first group $2wx + 4w$ , we can factor out $2w$ . $\newline$ From the second group $7x + 14$ , we can factor out $7$ . $\newline$ Factored form: $2w(x + 2) + 7(x + 2)$
Factor Greatest Common Factor: Factor out the common binomial factor. $\newline$ Both groups now have a common binomial factor $(x + 2)$ . $\newline$ Factor out the common binomial factor: $(x + 2)(2w + 7)$