Factoring Polynomials

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Up to now, we have only solved equations with a degree of 1.

2x + 8 = 4x +6

-2x + 8 = 6

-2x = -2

x = 1

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Steps to Solve Equations by Factoring

If an equation has a degree of 2 or higher, we cannot solve it until it has been factored.

You must first get “0” on one side of the = sign before you try any factoring.

Once you have “0” on one side, use all your rules for factoring to make 2 ( ) or factors.

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Steps to Solve Equations by Factoring

Next, set each factor = 0 and solve for the unknown.

x2 + 12x = 0 Factor GCF

x(x + 12) = 0

(set each factor = 0, & solve)

x = 0 x + 12 = 0

x = - 12

You now have 2 answers, x = 0 and x = -12.