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You can find this by grouping the factors, then looking for common factors:

2my + 7x + 7m + 2xy = (2my + 2xy) + (7x + 7m) = 2y(m+x) + 7(m+x).

Since the factor m+x also happens to be a common factor, you can use the distributive law once more: 2y(m+x) + 7(m+x) = (2y+7)(m+x).

Sometimes you have to try several possibilities; and of course, not all polynomials with 4 or more factors can be factored this way - or at all.

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14y ago
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8y ago

(2y + 7)(m + x)

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Q: Factor of polynomial 2my plus 7x plus 7m plus 2xy?
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