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What are the roots of the polynomial x^2 + 2x + 1?

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Question: What are the roots of the polynomial x^2 + 2x + 1?

Options:

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

Correct Answer: -1 and -1

Solution:

The polynomial can be factored as (x + 1)(x + 1) or (x + 1)^2. Thus, the roots are x = -1 and x = -1.

What are the roots of the polynomial x^2 + 2x + 1?

Practice Questions

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

Questions & Step-by-Step Solutions

What are the roots of the polynomial x^2 + 2x + 1?
  • Factoring Polynomials – Understanding how to factor a quadratic polynomial to find its roots.
  • Identifying Roots – Recognizing that roots can be repeated and how to express them.
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