QQuestionMathematics
QuestionMathematics
Explain why 3x^2 can be said to be in both standard form and factored form.
10 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Understand the Expression
The expression $$3x^{2}$$ contains two key characteristics that allow it to be considered in both standard and factored forms.
Step 3:: Standard Form Analysis
- $$3x^{2}$$ is already in standard form because:
In standard form, a polynomial is written with terms in descending order of degree. * It has a coefficient (3) * The variable (x) is raised to its highest power (2) * The term is written in descending order of degree
Step 4:: Factored Form Analysis
- The coefficient (3) and the variable term ($$x^{2}$$) are explicitly separated
- 3 \cdot x^{2} - This represents the expression as a product of its coefficient and variable term
Step 5:: Key Insight
The unique property of $$3x^{2}$$ is that it's simple enough to be simultaneously interpreted in both forms without changing its fundamental structure.
Final Answer
3x^{2} is in both standard and factored form because it can be viewed as a single term with a clear coefficient and variable component, maintaining its mathematical integrity in both representations.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students