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Which of the following represents the factored form of x^2 + 5x + 6?

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Question: Which of the following represents the factored form of x^2 + 5x + 6?

Options:

  1. (x + 2)(x + 3)
  2. (x - 2)(x - 3)
  3. (x + 1)(x + 6)
  4. (x - 1)(x - 6)

Correct Answer: (x + 2)(x + 3)

Solution: 

Factor the polynomial: x^2 + 5x + 6 = (x + 2)(x + 3).

Which of the following represents the factored form of x^2 + 5x + 6?

Practice Questions

Q1
Which of the following represents the factored form of x^2 + 5x + 6?
  1. (x + 2)(x + 3)
  2. (x - 2)(x - 3)
  3. (x + 1)(x + 6)
  4. (x - 1)(x - 6)

Questions & Step-by-Step Solutions

Which of the following represents the factored form of x^2 + 5x + 6?
  • Step 1: Identify the polynomial you want to factor, which is x^2 + 5x + 6.
  • Step 2: Look for two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of x).
  • Step 3: The numbers that work are 2 and 3 because 2 * 3 = 6 and 2 + 3 = 5.
  • Step 4: Write the factored form using these two numbers: (x + 2)(x + 3).
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