Answer:
f(x) = x² - 9x + 18
General Formulas and Concepts:
Algebra I
- Standard Form: ax² + bx + c = 0
- Binomial Roots: (x + a)(x + b)(x + c)(x + ...)
- Expanding by FOIL-ing (First, Outside, Inside, Last)
Step-by-step explanation:
Step 1: Define
Zeros/Roots x = 3, 6
Step 2: Find Function
- Rewrite Binomial Roots: f(x) = (x - 3)(x - 6)
- Expand by FOIL-ing: f(x) = x² - 6x - 3x + 18
- Combine like terms (x): f(x) = x² - 9x + 18
