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First we should write out the problem.
1. 2qx² + pqx - 14x - 7p
Second, we should check for a GCF for the entire problem.
2. No common factor for the entire problem. GCF = 1.
Third, we should rearrange the terms so they're next to other terms more compatible.
3. 2qx² - 14x + pqx - 7p
Fourth, we should look for common factors in the first pair of numbers. Both share a factor of 2x.
4. 2x(qx - 7) + pqx - 7p
Fifth, we should do the same for the second pair, the factor here is p.
5. 2x(qx - 7) + p(qx - 7)
Lastly, reorganize again.
6. (2x + p) (qx - 7)
You can check your answer by FOIL'ing the factored problem.
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