![]() Note: When the constant term is negative, as in parts a), b), c), then the signs in each factor must be different. Place the correct signs to give the middle term. Skill in factoring depends on skill in multiplying-specifically in producing the middle term. Therefore, we must eliminate that possibility and consider the other:Ĭan we produce 9 x by combining 10 x with 1 x ? Is it possible to produce 9 x by combining the outers and the inners: How shall we decide between these two possibilities? It is the combination that will correctly give the middle term, 9 x : Notice: We have not yet placed any signs! Now, how can we produce 2 x 2? There is only one way: 2 x Īnd how can we produce 5? Again, there is only one The first term of each binomial will be the factors of 2 x 2, and the second term will be the factors of 5. it will be factored as a product of binomials: ![]() Skill in factoring thus depends upon skill in multiplication: Lesson 16. we ask "What must we multiply to produce it?" F ACTORING IS THE REVERSE of multiplying.
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