Question
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Find the roots of the factored polynomial.

Ask by Ortiz Robbins. in the United States
Dec 07,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

x = 2

Solution

To find the roots of the factored polynomial , we need to set the expression equal to zero and solve for .
Since any number raised to the power of 3 that equals zero must be zero itself, we can solve for by setting the base equal to zero:
Now, add 2 to both sides to solve for :
The root of the polynomial is . Since it’s a cubic polynomial and the exponent is 3, the root is a root of multiplicity 3. This means that is the only root of the polynomial, and it occurs three times.
So, the roots of the polynomial are:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Mind Expander

To find the roots of the polynomial , we set the polynomial equal to zero:
To solve for , we take the cube root of both sides:
Solving for , we have:
Since the factor appears three times, the root has a multiplicity of 3. Therefore, the complete list of roots is:
So, the final answer is:
x = 2, 2, 2

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