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

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

Options:

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

Correct Answer: x = 0, 1, 4

Solution: 

Factor out x: x(x^2 - 4x + 1) = 0. Thus, x = 0 or solve x^2 - 4x + 1 = 0.

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

Practice Questions

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

Questions & Step-by-Step Solutions

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