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When factoring a trinomial into two binomials, how do you know if you are adding or subtracting the factors of the last term to get the middle term?

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Answer:

Write out all the pairs of numbers which can be multiplied to produce c.

Add each pair of numbers to find a pair that produce b when added.

If b > 0, then the factored form of the trinomial is (x + d )(x + e).

Check: The binomials, when multiplied, should equal the original trinomial.

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