## An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |

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**Monomials**. 130 II . Calculus of Radical Quantities . 133 III . Powers of Polynomials . 141 IV . Roots of Polynomials . 150 V. Binomial Equations . 155 CHAPTER VI . EQUATIONS OF THE SECOND DEGREE . 161 CHAPTER VII . PROGRESSIONS ... Page 4

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**monomial**, or a quantity composed of a single term , or simply a term . Thus , 3 a2 , - 10 a3 z are**monomials**. 13. An algebraic expression composed of several terms , connected together by the signs + and - , is called a polynomial ... Page 8

... as to make it -A + B . Hence , To subtract one quantity from another , change the signs of the quantity to be subtracted from + to - , Multiplication of

... as to make it -A + B . Hence , To subtract one quantity from another , change the signs of the quantity to be subtracted from + to - , Multiplication of

**Monomials**. and from - to + , 8 [ CH . I. § III . ALGEBRA . III Subtraction. Page 9

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**monomials**. Solution . The required product is indicated by writing the given**monomials**after each other with the sign of multi- plication between them , and thus a**monomial**is formed , which is the continued product of all the factors ... Page 10

To which are Added Exponential Equations and Logarithms Benjamin Peirce. Multiplication of Polynomials .

To which are Added Exponential Equations and Logarithms Benjamin Peirce. Multiplication of Polynomials .

**monomials**. But , as the order of the factors may be changed at pleasure , the numerical factors may all be united in one product ...### Other editions - View all

### Common terms and phrases

126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem 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 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