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Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)

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Question: Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)

Options:

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

Correct Answer: 8

Exam Year: 2023

Solution: 

The product of the roots is given by c/a = 8/1 = 8.

Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)

Practice Questions

Q1
Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)
  1. 8
  2. 6
  3. 4
  4. 2

Questions & Step-by-Step Solutions

Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)
  • Step 1: Identify the coefficients in the quadratic equation x² + 6x + 8 = 0. Here, a = 1, b = 6, and c = 8.
  • Step 2: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
  • Step 3: Substitute the values of c and a into the formula: c = 8 and a = 1.
  • Step 4: Calculate the product of the roots: 8 / 1 = 8.
  • Step 5: Conclude that the product of the roots of the equation is 8.
  • Quadratic Equations – Understanding the standard form of a quadratic equation and how to apply Vieta's formulas to find the product of the roots.
  • Vieta's Formulas – Using Vieta's formulas, which relate the coefficients of a polynomial to sums and products of its roots.
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