Factor z^4+2z^2-15

Math
z4+2z2-15
Rewrite z4 as (z2)2.
(z2)2+2z2-15
Let u=z2. Substitute u for all occurrences of z2.
u2+2u-15
Factor u2+2u-15 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -15 and whose sum is 2.
-3,5
Write the factored form using these integers.
(u-3)(u+5)
(u-3)(u+5)
Replace all occurrences of u with z2.
(z2-3)(z2+5)
Factor z^4+2z^2-15

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