Question

find the roots of the factored polynomial.
$(x - 1)^3$
write your answer as a list of values separated by commas.
x =
save answer

Explanation:

Step1: Recall root definition

A root of a polynomial \( f(x) \) is a value \( x \) such that \( f(x) = 0 \). For the factored polynomial \( (x - 1)^3 \), we set it equal to zero: \( (x - 1)^3 = 0 \).

Step2: Solve for x

To solve \( (x - 1)^3 = 0 \), we take the cube root of both sides. The cube root of 0 is 0, so \( x - 1 = \sqrt[3]{0} = 0 \). Then, adding 1 to both sides gives \( x = 1 \). Since the factor \( (x - 1) \) is cubed, the root \( x = 1 \) has multiplicity 3, but we list it once in the set of roots (or as a single value in the list as the problem asks for values separated by commas, and repeated roots are still represented by their value).

Answer:

1