SUMMARY
The polynomial expression 7X²(X - 2) - (X - 2) can be factored to yield the result (7X² - 1)(X - 2). The key step in this process is recognizing that instead of dividing by (X - 2), one should factor it out from the expression. This results in the simplified form {X - 2}{7X²(1) - 1(1)}, confirming the final answer.
PREREQUISITES
- Understanding polynomial expressions and factoring techniques
- Familiarity with the distributive property in algebra
- Knowledge of factoring out common terms
- Basic algebra skills, including manipulation of algebraic expressions
NEXT STEPS
- Study polynomial factoring methods, focusing on common factors
- Learn about the distributive property and its applications in algebra
- Practice problems involving factoring polynomials with multiple terms
- Explore advanced factoring techniques, such as synthetic division
USEFUL FOR
Students learning algebra, educators teaching polynomial factoring, and anyone seeking to improve their skills in simplifying algebraic expressions.