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Factoring Special Products definitions
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Difference of Squares
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Difference of Squares
A polynomial with two perfect square terms separated by subtraction, factored into the sum and difference of their square roots.
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Termini in questo insieme (15)
Nascondere definizioni
Difference of Squares
A polynomial with two perfect square terms separated by subtraction, factored into the sum and difference of their square roots.
Perfect Square Trinomial
A three-term polynomial where the first and last terms are perfect squares and the middle term equals twice their product.
Sum of Cubes
A polynomial with two perfect cube terms added together, factored using a binomial and a trinomial with specific sign rules.
Difference of Cubes
A polynomial with two perfect cube terms separated by subtraction, factored into a binomial and a trinomial following sign patterns.
Conjugates
Two binomials with identical terms but opposite signs, whose product yields a difference of squares.
Binomial
An algebraic expression consisting of two terms, often used as a factor in special product patterns.
Trinomial
An algebraic expression with three terms, commonly appearing in perfect square and cube factoring rules.
Perfect Square
A term that results from squaring a single value, crucial in identifying special factoring patterns.
Perfect Cube
A term that results from cubing a single value, used in sum and difference of cubes factoring.
SOAP Rule
An acronym guiding sign placement when factoring sums or differences of cubes: Same, Opposite, Always Positive.
Factorization Formula
A specific algebraic rule used to rewrite special polynomials as products of simpler expressions.
Sign Value
The positive or negative nature of terms, essential for applying correct factoring formulas.
Coefficient
A numerical factor in a term, important for identifying perfect squares or cubes in polynomials.
Exponent
A number indicating how many times a base is multiplied by itself, key in recognizing squares and cubes.
Term
A single part of a polynomial, which may be a perfect square or cube, used in special product patterns.