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What is the value of x in the polynomial equation x^3 - 4x^2 + 4x = 0?

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Question: What is the value of x in the polynomial equation x^3 - 4x^2 + 4x = 0?

Options:

  1. x = 0, 2
  2. x = 1, 3
  3. x = 2, 4
  4. x = -1, 5

Correct Answer: x = 0, 2

Solution:

Factor out x: x(x^2 - 4x + 4) = 0. This gives x = 0 or (x - 2)^2 = 0, so x = 2.

What is the value of x in the polynomial equation x^3 - 4x^2 + 4x = 0?

Practice Questions

Q1
What is the value of x in the polynomial equation x^3 - 4x^2 + 4x = 0?
  1. x = 0, 2
  2. x = 1, 3
  3. x = 2, 4
  4. x = -1, 5

Questions & Step-by-Step Solutions

What is the value of x in the polynomial equation x^3 - 4x^2 + 4x = 0?
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