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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