Algebra 1: Polynomials and Factoring

Study Notes

Polynomials and Factoring

Binomial: A polynomial composed of two distinct terms.
Degree of a Monomial: Calculated by summing the exponents of all variables within the term.
Monomial: An algebraic expression that consists of a single term without any addition or subtraction.
Polynomial: Can either be a single monomial or comprised of multiple monomials combined through addition or subtraction.
Standard Form of a Polynomial: A polynomial is considered to be in standard form when its terms are arranged in descending order based on their degrees.
Multiplying Binomials: The distributive property is the method used to multiply two binomials, ensuring each term in the first binomial is multiplied by each term in the second.
Square of a Binomial: The expansion of a binomial squared results in the first term squared, plus twice the product of the two terms, plus the last term squared.
Product of a Sum and Difference: When multiplying a sum and a difference of the same two terms, the result is equivalent to the difference of their squares.
Difference of Two Squares: This polynomial form can be factored into the product of the sum and the difference of the two terms involved.
Factoring by Grouping: This technique is utilized to factor expressions with four terms by pairing them, extracting the greatest common factor (GCF) from each pair, and identifying a shared binomial factor.
Perfect Square Trinomial: A specific type of trinomial formed from the squaring of a binomial, showcasing a particular structure in its coefficients.

Description

Test your knowledge of polynomials and their properties with this flashcard quiz. Learn key terms such as binomials, monomials, and polynomial standard forms. Perfect for Algebra 1 students aiming to master these essential concepts.