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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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Q: How do you factor the expression 2qx2 plus pqx-14x-7p?
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