Question

Write a quadratic equation having the given numbers as solutions.
-5 and - 3

Answer 1

x² + 8x + 15

General Formulas and Concepts:

Algebra I

• Quadratic Roots - Linear Binomials
• Expand by FOIL-ing (First, Outside, Inside, Last)
• Standard Form: ax² + bx + c = 0

Explanation:

Step 1: Define

x = -5, -3

Step 2: Write equation

1. Rewrite solutions: (x + 5)(x + 3)
2. Expand [FOIL]: x² + 3x + 5x + 15
3. Combine like terms: x² + 8x + 15