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Which of the following is a factor of the polynomial x^3 - 4x^2 + 4x?

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Question: Which of the following is a factor of the polynomial x^3 - 4x^2 + 4x?

Options:

  1. x - 2
  2. x + 2
  3. x
  4. x - 4

Correct Answer: x

Solution:

We can factor out x from the polynomial: x^3 - 4x^2 + 4x = x(x^2 - 4x + 4) = x(x - 2)^2. Thus, x is a factor.

Which of the following is a factor of the polynomial x^3 - 4x^2 + 4x?

Practice Questions

Q1
Which of the following is a factor of the polynomial x^3 - 4x^2 + 4x?
  1. x - 2
  2. x + 2
  3. x
  4. x - 4

Questions & Step-by-Step Solutions

Which of the following is a factor of the polynomial x^3 - 4x^2 + 4x?
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