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What are the roots of the polynomial x^2 + 6x + 9?

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Question: What are the roots of the polynomial x^2 + 6x + 9?

Options:

  1. -3 and -3
  2. 3 and 3
  3. 0 and 9
  4. 1 and 8

Correct Answer: -3 and -3

Solution: 

The polynomial can be factored as (x + 3)(x + 3) or (x + 3)^2. Therefore, the roots are x = -3 and x = -3.

What are the roots of the polynomial x^2 + 6x + 9?

Practice Questions

Q1
What are the roots of the polynomial x^2 + 6x + 9?
  1. -3 and -3
  2. 3 and 3
  3. 0 and 9
  4. 1 and 8

Questions & Step-by-Step Solutions

What are the roots of the polynomial x^2 + 6x + 9?
  • 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 squares.
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