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Popular >

factor z^5-1

Solution

factor

z^{5} - 1

Solution

(z - 1) (z^{4} + z^{3} + z^{2} + z + 1)

Solution steps

z^{5} - 1

Rewrite

1

as

1^{5}

= z^{5} - 1^{5}

Apply factoring rule:

x^{n} - y^{n} = (x - y) (x^{n - 1} + x^{n - 2} y + \dots + x y^{n - 2} y^{n - 1})

z^{5} - 1^{5} = (z - 1) (z^{4} + z^{3} + z^{2} + z + 1)

= (z - 1) (z^{4} + z^{3} + z^{2} + z + 1)

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Frequently Asked Questions (FAQ)

What is factor z^5-1 ?
The solution to factor z^5-1 is (z-1)(z^4+z^3+z^2+z+1)