Question

Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and

express the result in standard form.

Answer 1

(f - g)(x) = x² + 12x + 26

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients/Degrees

Explanation:

Step 1: Define

f(x) = x² + 12x + 32

g(x) = 2 + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

1. Substitute: (f - g)(x) = x² + 12x + 32 - (2 + 4)
2. Combine like terms: (f - g)(x) = x² + 12x + 32 - 6
3. Combine like terms: (f - g)(x) = x² + 12x + 26