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

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Question: Which expression 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: 

The expression factors to (x + 2)(x + 3) since 2 and 3 add to 5 and multiply to 6.

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

Practice Questions

Q1
Which expression 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 expression represents the factored form of x^2 + 5x + 6?
  • Step 1: Identify the expression you want to factor, which is x^2 + 5x + 6.
  • Step 2: Look for two numbers that add up to the coefficient of x (which is 5) and multiply to the constant term (which is 6).
  • Step 3: The two numbers that work are 2 and 3 because 2 + 3 = 5 and 2 * 3 = 6.
  • Step 4: Write the factored form using these two numbers: (x + 2)(x + 3).
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