Answer:
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
Step-by-step explanation:
Step 1: Define
x = -5, -3
Step 2: Write equation
- Rewrite solutions: (x + 5)(x + 3)
- Expand [FOIL]: x² + 3x + 5x + 15
- Combine like terms: x² + 8x + 15