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### Course: Algebra 1 (Eureka Math/EngageNY)>Unit 4

Lesson 1: Topic A: Lessons 1-2: Factoring monomials

# Which monomial factorization is correct?

Factoring monomials involves breaking down an expression into two parts. This process shows that there are multiple correct ways to factor a monomial. By multiplying coefficients and powers, you can verify if the factorization is accurate. It's a fun exploration of the many ways to dissect monomials!

## Want to join the conversation?

• What's FOIL? Does it work here?
• A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product. Inner means multiply the innermost two terms. Last means multiply the terms which occur last in each binomial. Then simplify the products and combine any like terms which may occur.
• will the product of two monomials always be a monomial, on the same note will the product of two polynomials always be a polynomial?
• yes a monomial times a monomial will be a monomial and a polynomial times a polynomial is a polynomial
• i have no idea what im doing right now
• there are many ways yes but is there a best way?
• No, there isn't a universally 'best' way. There may be a 'best' way in a given situation for a given problem, but even that will be a matter of opinion. It depends on how you prefer to process the information.
• what is monomial
• A monomial is an algebraic expression with only one term. For instance, "2x" is a monomial. So is "3xy."

If the expression has 2 terms (like, 2x + 3y), it's a binomial; if it has 3 terms (like, ax + by + c), it's a trinomial, etc.

Hope this helps!
• i dont understand any of this.
• Factorization is when you split a mathematical figure into 2 or more parts that when multiplied, will give you the original number that you factorized.
(1 vote)
• Help i dont understand disss
• Does it matter if factored forms of polynomials (or monomials) are in standard form or not, like:
(4x)(6x^4) or (6x^4)(4x)
Is it simply a style thing or does standard form only apply to the polynomials in their complete form?
Thank you so much for your time!
(1 vote)
• I believe it isn't strictly required (By the commutative of multiplication), but you are encouraged to do so.