Questions and Answers
What is a binomial?
What is the degree of a monomial?
Sum of the exponents and its variables
A monomial is an expression with only two terms.
False
What is a polynomial?
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A polynomial in one variable is written in standard form when the terms are in order from greatest _____ to least degree.
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What method can be used for multiplying binomials?
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Define the square of a binomial.
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What is the product of a sum and difference?
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What is a difference of two squares?
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What is factoring by grouping?
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What is a perfect square trinomial?
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Study Notes
Polynomials and Factoring
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Binomial: A polynomial composed of two distinct terms.
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Degree of a Monomial: Calculated by summing the exponents of all variables within the term.
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Monomial: An algebraic expression that consists of a single term without any addition or subtraction.
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Polynomial: Can either be a single monomial or comprised of multiple monomials combined through addition or subtraction.
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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.
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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.
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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.
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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.
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Difference of Two Squares: This polynomial form can be factored into the product of the sum and the difference of the two terms involved.
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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.
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Perfect Square Trinomial: A specific type of trinomial formed from the squaring of a binomial, showcasing a particular structure in its coefficients.
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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.