What is the factored form of the polynomial x^2 + 7x + 10?

Practice Questions

Q1
What is the factored form of the polynomial 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

What is the factored form of the polynomial x^2 + 7x + 10?
  • Step 1: Look at the polynomial x^2 + 7x + 10. We need to find two numbers that multiply to the last number (10) and add up to the middle number (7).
  • Step 2: The two numbers that work are 5 and 2 because 5 * 2 = 10 and 5 + 2 = 7.
  • Step 3: Now we can write the polynomial in factored form using these two numbers. We write it as (x + 5)(x + 2).
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