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Factoring – Trinomials ( a ≠ 1), Bottoms Up Method – Why It Works

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Factoring – Trinomials ( a ≠ 1), Bottoms Up Method – Why It Works

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## Factoring – Trinomials ( a ≠ 1), Bottoms Up Method – Why It Works

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**Factoring – Trinomials (a ≠ 1),**Bottoms Up Method – Why It Works • It is assumed you have looked at the slideshow for factoring using the “Bottoms Up” method. • The following will explain why it works.**Example**Factor using the Bottoms Up method: Determine ac. Write x2+bx+acform. Factor Divide by a. Reduce and Bottoms Up**Bottoms Up method**Now the same problem with the B.U. method on the side for comparison. Factor out a.**Bottoms Up method**Multiply the third term of the trinomial by value of 1 in 5/5 form. Note how ac is being formed**Bottoms Up method**Simplify The B.U. trinomial can be seen in the expression’s numerators.**Bottoms Up method**Factor The B.U. factored form is now found in the expression.**Bottoms Up method**Reduce**Bottoms Up method**Distribute the 5.