Simplify (f - g)(x) for f(x) = x^2 + 18x + 80 and g(x) = x + 8

Math Problem Statement

Given that f, of, x, equals, x, squared, plus, 18, x, plus, 80f(x)=x 2 +18x+80 and g, of, x, equals, x, plus, 8g(x)=x+8, find left parenthesis, f, minus, g, right parenthesis, left parenthesis, x, right parenthesis(f−g)(x) and express the result as a polynomial in simplest form.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Functions
Subtraction of Functions

Formulas

f(x) - g(x) = (x^2 + 18x + 80) - (x + 8)

Theorems

Polynomial Simplification

Suitable Grade Level

Grades 8-10

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