Math Problem Statement
Factoring polynomials 6m⁴n² + 3m²n⁵
Solution
To factor the polynomial , follow these steps:
-
Identify the Greatest Common Factor (GCF): Find the GCF of the coefficients and the variables.
- For the coefficients 6 and 3, the GCF is 3.
- For the variables and , the GCF is .
- For the variables and , the GCF is .
Therefore, the GCF of the polynomial is .
-
Factor out the GCF: Divide each term of the polynomial by the GCF and factor it out.
So, the factored form of the polynomial is .
Would you like more details or have any questions?
Here are some related questions to further your understanding:
- What is the process to find the GCF of a polynomial?
- How do you factor a polynomial with more than two terms?
- Can all polynomials be factored?
- What are some common factoring techniques used in algebra?
- How do you verify if a factored polynomial is correct?
- What is the difference between factoring and simplifying a polynomial?
- How can factoring polynomials be applied in solving equations?
- What is the role of the distributive property in factoring polynomials?
Tip: When factoring polynomials, always look for the GCF first. It simplifies the process and makes further factoring steps easier.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Polynomials
Factoring
Greatest Common Factor (GCF)
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Factoring Polynomial Expression 2m^2n - 3m^4n^2 + 7m^3
Factoring Quadratic Expressions: m^2 + 5mn + 6n^2 and m^2 - 11mn + 28n^2
Factoring the Polynomial Expression 10n^3m - 15n^2m
Factor the Polynomial 6x^3 + 15x^2: Step-by-Step Guide
Factor the Greatest Common Factor of the Polynomial 44m^9 - m^6 - 40m - 27