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Factoring – Trinomials (a ≠ 1), Bottoms Up Method – Why It Works The following will explain why it works. It is assumed you have looked at the slideshow for factoring using the “Bottoms Up” method.

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Example Factor using the Bottoms Up method: 1.Determine ac. 2.Write x 2 +bx+ac form. 3.Factor 4.Divide by a. 5.Reduce and Bottoms Up

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Bottoms Up method Now the same problem with the B.U. method on the side for comparison. 1.Factor out a.

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Bottoms Up method 2.Multiply the third term of the trinomial by value of 1 in 5/5 form. Note how ac is being formed

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Bottoms Up method 3.Simplify The B.U. trinomial can be seen in the expression’s numerators.

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Bottoms Up method 4.Factor The B.U. factored form is now found in the expression.

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Bottoms Up method 5.Reduce

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Bottoms Up method 6.Distribute the 5.

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9.4 Multiplying & Dividing Rational Expressions. Simplifying Rational Expressions If the top and bottom have a common term, they can cancel out.

9.4 Multiplying & Dividing Rational Expressions. Simplifying Rational Expressions If the top and bottom have a common term, they can cancel out.

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