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Which expression represents the factored form of x^2 + 7x + 10?

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Question: Which expression represents the factored form of x^2 + 7x + 10?

Options:

  1. (x + 5)(x + 2)
  2. (x - 5)(x - 2)
  3. (x + 10)(x - 1)
  4. (x - 10)(x + 1)

Correct Answer: (x + 5)(x + 2)

Solution: 

The expression factors to (x + 5)(x + 2) since 5 and 2 add to 7 and multiply to 10.

Which expression represents the factored form of x^2 + 7x + 10?

Practice Questions

Q1
Which expression represents the factored form of x^2 + 7x + 10?
  1. (x + 5)(x + 2)
  2. (x - 5)(x - 2)
  3. (x + 10)(x - 1)
  4. (x - 10)(x + 1)

Questions & Step-by-Step Solutions

Which expression represents the factored form of x^2 + 7x + 10?
  • Step 1: Identify the expression you want to factor, which is x^2 + 7x + 10.
  • Step 2: Look for two numbers that add up to the coefficient of x (which is 7) and multiply to the constant term (which is 10).
  • Step 3: The two numbers that work are 5 and 2 because 5 + 2 = 7 and 5 * 2 = 10.
  • Step 4: Write the factored form using these two numbers: (x + 5)(x + 2).
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