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What is the sum of the roots of the polynomial x^2 + 6x + 8?

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Question: What is the sum of the roots of the polynomial x^2 + 6x + 8?

Options:

  1. -6
  2. 6
  3. -8
  4. 8

Correct Answer: -6

Solution: 

The sum of the roots of a quadratic ax^2 + bx + c is given by -b/a. Here, b = 6 and a = 1, so the sum is -6/1 = -6.

What is the sum of the roots of the polynomial x^2 + 6x + 8?

Practice Questions

Q1
What is the sum of the roots of the polynomial x^2 + 6x + 8?
  1. -6
  2. 6
  3. -8
  4. 8

Questions & Step-by-Step Solutions

What is the sum of the roots of the polynomial x^2 + 6x + 8?
  • Step 1: Identify the coefficients of the polynomial x^2 + 6x + 8. Here, a = 1, b = 6, and c = 8.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 3: Substitute the values of b and a into the formula. We have b = 6 and a = 1.
  • Step 4: Calculate -b/a. This means we calculate -6/1.
  • Step 5: Simplify -6/1 to get -6.
  • Step 6: Conclude that the sum of the roots of the polynomial x^2 + 6x + 8 is -6.
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