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What are the roots of the polynomial x^2 + 4x + 4?

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Question: What are the roots of the polynomial x^2 + 4x + 4?

Options:

  1. -2 and -2
  2. 2 and 2
  3. 4 and 4
  4. 0 and 0

Correct Answer: -2 and -2

Solution: 

The polynomial can be factored as (x + 2)(x + 2) or (x + 2)^2. Thus, the roots are x = -2 and x = -2.

What are the roots of the polynomial x^2 + 4x + 4?

Practice Questions

Q1
What are the roots of the polynomial x^2 + 4x + 4?
  1. -2 and -2
  2. 2 and 2
  3. 4 and 4
  4. 0 and 0

Questions & Step-by-Step Solutions

What are the roots of the polynomial x^2 + 4x + 4?
  • Factoring Polynomials – Understanding how to factor a quadratic polynomial to find its roots.
  • Identifying Roots – Recognizing that roots can be repeated in the case of perfect square trinomials.
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