Math Problem Statement
Phân tích đa thức x^3 - 3x^2 + 3x - 1 thành nhân tử ta được:
Solution
The image you uploaded is a Vietnamese mathematical expression asking to factorize the cubic polynomial .
Let's factor the polynomial step by step.
We begin by noticing that the polynomial has the form: This resembles the expanded form of , as: Thus, the factorization of is:
Would you like further clarification on the factorization process, or do you have any other questions?
Here are 5 related questions for further exploration:
- How can you confirm if a factorization is correct using polynomial division?
- What are the possible roots of cubic polynomials, and how can we find them?
- How do we use synthetic division to factorize a polynomial?
- What are the differences between factoring linear, quadratic, and cubic polynomials?
- How does the Fundamental Theorem of Algebra help in solving cubic equations?
Tip: Always look for patterns, such as perfect cubes, when factoring cubic polynomials.
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Math Problem Analysis
Mathematical Concepts
Algebra
Cubic Polynomials
Factorization
Formulas
(x - 1)^3 = x^3 - 3x^2 + 3x - 1
Theorems
Factorization of Cubic Polynomials
Suitable Grade Level
Grades 9-12