x2-7x-44
(x-11)(x+4)
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If that's +14x + 3, the answer is (2x + 3)(4x + 1)
(x + 2)(x - 7)
x2 - 2x - 14 doesn't factor neatly. Applying the quadratic formula, we find two real solutions: 1 plus or minus the square root of 15x = 4.872983346207417x = -2.872983346207417
You need at least two terms to find a GCF.
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.