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Original Equation

P(x)=0

Write in terms of X2 Let a=x2

Factor

Replace a with x2

Factor x2-4 as a Difference of Square

It follows from the Zero Product Property that x=-2, or x2=-1

X4-3x2=4

X4-3x2-4=0

(x2)2-3(x2)2-4=0

a2-3a-4=0

(a-4)(a+1)

(X2-4)(x2+1)=0

(X+2)(x-2)(x2+1)=0

Zero Product Property

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Extra Credit

By Jack Leonard