Math Problem Statement

x^4+x^3+x^2-x-2/x^2-1

Solution

We are tasked with simplifying the expression:

x4+x3+x2x2x21.\frac{x^4 + x^3 + x^2 - x - 2}{x^2 - 1}.

Step-by-Step Solution:

  1. Factorize the denominator: x21=(x1)(x+1).x^2 - 1 = (x - 1)(x + 1).

  2. Analyze the numerator: The numerator is (x^4 + x^3 + x^2

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Expressions
Factorization

Formulas

x^2 - 1 = (x - 1)(x + 1)

Theorems

Factorization of polynomials

Suitable Grade Level

Grades 9-12