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# Algebra/algabra 2 factoring polyomials

Question
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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Algebra

Volunteer

#### Anne Losch

##### Expertise

Solving equations, graphing, evaluatin equations, factoring, functions, systems of equations, rational equations, exponent, complex numbers, word problems, logarithms, polynomials, and all topics in an Algebra 1, Algebra 2, or College Algebra class

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I have a teaching certificate, I have taught Algebra 1 & 2 as well as tutored those subjects and tutored in College Algebra.

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NEA, past NCTM, MAA, AMS, and ASCD

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I hold a B.S. in mathematics and computer science from an accredited university and have gone back to school to get my teacher certificate. I hold more than enough credits for an education minor.

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I have worked at tutoring centers including Sylvan Learning and Huntington Learning Center. I have posted answers to mathematical questions on answers.com but would rather volunteer with AllExperts.