Factor the following sum of two cubes.

Question

Select the correct choice below.

(a) z^3 + 125=? (Factor completely. Simplify your answer.)

(b) The polynomial is prime.

Answer 1

z³ + 125 = z³ + 5³ = (z + 5)(z² - 5z + 25).

This follows from the "sum of cubes" formula, below.

a³+ b³ = (a + b)(a² - ab + b²).

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