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Which of the following is the correct factorization of x^2 + 5x + 6?

Practice Questions

Q1
Which of the following is the correct factorization 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 is the correct factorization of x^2 + 5x + 6?
  • Step 1: Look at the constant term in the expression, which is 6. We need to find two numbers that multiply together to give 6.
  • Step 2: Think of pairs of numbers that multiply to 6. The pairs are (1, 6) and (2, 3).
  • Step 3: Now, we need to check which of these pairs adds up to the coefficient of the x term, which is 5.
  • Step 4: The pair (2, 3) adds up to 5 (2 + 3 = 5). So, we will use these numbers.
  • Step 5: Write the expression in factored form using the numbers we found: (x + 2)(x + 3).
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