Please make a donation to keep TheMathPage online. First multiply the binomials, then distribute 2: 2( x 3)( x − 1) We can multiply only two factors at a time. More simply, the coefficient of x is −1 5. The constant term, as always, is their product.Įxample 4. When we add the outers plus the inners, the coefficient of the middle term is the sum of the two numbers. When 1 is the coefficient of each x, the multiplication is especially simple: Write only the trinomial product.Įxample 3. Write only the trinomial product - do not write all four terms. With practice, your eye will get used to picking out the Outers plus the Inners. x together - " 10 x 3 x" - and write 13 x.To check that, the student should practice adding the like terms mentally. But in the second possibility we can:Ģ x 2 13 x 15 will therefore be correctly factored as In the first possibility, can we make 13 x by combining the Outers plus the Inners: 6 x with 5 x ? The key lies in choosing the one that correctly gives the middle term, 13 x. Because symmetrically we will want to factor 2 x 2 13 x 15. It is skillful to be able to pick out the like terms quickly - to point at them mentally with your eyes. Adding
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