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If a polynomial is given by P(x) = x^2 - 4x + 4, what is its factored form?

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Question: If a polynomial is given by P(x) = x^2 - 4x + 4, what is its factored form?

Options:

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

Correct Answer: (x - 2)(x - 2)

Solution:

P(x) = x^2 - 4x + 4 = (x - 2)(x - 2) or (x - 2)^2.

If a polynomial is given by P(x) = x^2 - 4x + 4, what is its factored form?

Practice Questions

Q1
If a polynomial is given by P(x) = x^2 - 4x + 4, what is its factored form?
  1. (x - 2)(x - 2)
  2. (x + 2)(x + 2)
  3. (x - 4)(x + 4)
  4. (x + 4)(x - 4)

Questions & Step-by-Step Solutions

If a polynomial is given by P(x) = x^2 - 4x + 4, what is its factored form?
  • Factoring Polynomials – The process of expressing a polynomial as a product of its factors.
  • Identifying Perfect Squares – Recognizing that the polynomial can be expressed as a square of a binomial.
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