Factoring x 4 ax 2 b A trinomial of the formx 4 ax 2 b can sometimes be factored easily
Chapter 1, Problem 134(choose chapter or problem)
Factoring x 4 ax 2 b A trinomial of the formx 4 ax 2 b can sometimes be factored easily. For example,x4 3x2 4 1x2 42 1x2 12 But x 4 3x 2 4 cannot be factored in this way. Instead,we can use the following method.x4 3x2 4 1x4 4x2 42 x2 Add and subtract x 2 1x2 222 x2 Factor perfectsquare 3 1x2 22 x4 3 1x2 22 x4 Difference ofsquares 1x2 x 22 1x2 x 22 Factor the following, using whichever method is appropriate.(a) x 4 x 2 2 (b) x 4 2x 2 9(c) x 4 4x 2 16 (d) x 4 2x 2 1
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