Math Problem Statement

f(x)= x2+3x-4

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Factoring
Roots of Equations
Vertex of a Parabola
Domain and Range
Derivatives

Formulas

Quadratic equation: ax^2 + bx + c = 0
Roots formula: x = (-b ± √(b² - 4ac)) / 2a
Vertex formula: (-b / 2a, f(-b / 2a))
Sum of roots: -b/a
Product of roots: c/a

Theorems

Quadratic Formula
Factorization Method
Vertex Theorem
Derivative Rules

Suitable Grade Level

Grades 8-10