An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 2
... factor of a product is sometimes called its coefficient , and the numerical factor is called the numerical coefficient . When no coefficient is writ- ten , the coefficient may be considered to be unity . Thus , in the expression 15 a b ...
... factor of a product is sometimes called its coefficient , and the numerical factor is called the numerical coefficient . When no coefficient is writ- ten , the coefficient may be considered to be unity . Thus , in the expression 15 a b ...
Page 3
... factor in the given quantity . The sign is called the radical sign , and when prefixed to a quantity indicates that its root is to be extracted , the index of the root being placed to the left of the sign and a little above it . The ...
... factor in the given quantity . The sign is called the radical sign , and when prefixed to a quantity indicates that its root is to be extracted , the index of the root being placed to the left of the sign and a little above it . The ...
Page 5
... factor of a term is called a dimen- sion , and the degree of a term is the number of its dimensions . The degree of a term is , therefore , found by taking the sum of the exponents of its literal factors . Thus , 7x is of one dimension ...
... factor of a term is called a dimen- sion , and the degree of a term is the number of its dimensions . The degree of a term is , therefore , found by taking the sum of the exponents of its literal factors . Thus , 7x is of one dimension ...
Page 9
... - plication between them , and thus a monomial is formed , which is the continued product of all the factors of the given Multiplication of Polynomials . monomials . But , as the CH . 1. § IV . ] 9 MULTIPLICATION . Multiplication.
... - plication between them , and thus a monomial is formed , which is the continued product of all the factors of the given Multiplication of Polynomials . monomials . But , as the CH . 1. § IV . ] 9 MULTIPLICATION . Multiplication.
Page 10
... factor in the corresponding term , the number of times which it occurs as a factor in the product must be equal to the sum of the exponents . Hence every letter which is contained in any of the given factors must be written in the ...
... factor in the corresponding term , the number of times which it occurs as a factor in the product must be equal to the sum of the exponents . Hence every letter which is contained in any of the given factors must be written in the ...
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Common terms and phrases
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence