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factor the expression


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Monica R. | Clarinet Lessons and College Math TutorClarinet Lessons and College Math Tutor
4.6 4.6 (221 lesson ratings) (221)

To factor the equation, you must first list the multiples of 14, which are +/-1 & 14 and +/- 2 & 7. Usually, you would need to only add the multiple pair together and that would give you the number next to the x, but since there is a 3 next to the x2, you must multiply one multiple by 3d and one by d. Try it both ways. If it was (3d+7)(d+2), that would only be 3d2+13d+14. If you switch the 7 and 2 to be (3d+2)(d+7), you will get 3d2+23d+14.

Chris S. | Ivy League Physical Science and Math TutorIvy League Physical Science and Math Tut...
4.9 4.9 (11 lesson ratings) (11)


We can start with one of the factors to have a coefficient of 3 on the variable d and the other coefficient to be one because of the coefficient on d2.


We know the ?'s have to multiply to 14, so we can try 1 and 14 or 2 and 7.  We see that when we use 2 and 7 in the following manner, when multiplied and added, we obtain the expected coefficient of d, 23, in the original expression.