SUMMARY
The cubic function x^3 + 2x^2 + x can be factored as x(x + 1)^2. This conclusion is derived from the Precalculus textbook by David Cohen, 3rd Edition, specifically in Chapter 1, Section 1.3, Question 44b. The factorization process involves recognizing common factors and applying the perfect square trinomial identity. Verifying the factorization by multiplying the factors back confirms its correctness.
PREREQUISITES
- Understanding of polynomial functions
- Familiarity with factoring techniques
- Knowledge of perfect square trinomials
- Basic algebraic manipulation skills
NEXT STEPS
- Study polynomial long division techniques
- Learn about the Rational Root Theorem
- Explore synthetic division for polynomial functions
- Practice factoring higher-degree polynomials
USEFUL FOR
Students in precalculus, mathematics educators, and anyone looking to strengthen their algebraic factoring skills.