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how do i factor the polynomial z^4 - 10z^2 + 9

Hi Sam, I will be happy to help.

First, the trinomial can be factored similar to n^2 - 10n + 9 except instead of n, you have z^2

z^4 - 10z^2 + 9

first factors to

(z^2 - 9)(z^2 - 1)

Then each factor can be factored.

(z^2 - 9)(z^2 - 1)

factors to get

(z + 3)(z - 3)(z + 1)(z - 1)

Anne

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