Respuesta :

Space

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

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