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

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**Polynomials**. Calculus of Radical Quantities . 133 141 IV . Roots of**Polynomials**. V. Binomial Equations . 150 155 CHAPTER VI . EQUATIONS OF THE SECOND DEGREE . 161 CHAPTER VII . PROGRESSIONS . SECTION I. Arithmetical Progression . II ... Page 4

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**polynomial**, one of two terms is called a binomial , one of three a trinomial , & c . Thus , a2 + b is a binomial , cy is a trinomial , & c . + x 14. The value of a**polynomial**is evidently not affected by changing the order of its terms ... Page 5

... . Thus , and but 7 a b and 3 a b are similar terms , - - 5 a4 b3 and 3 a4 b3 are similar ; 2 at b3 and 2 as b4 are not similar . Reduction of

... . Thus , and but 7 a b and 3 a b are similar terms , - - 5 a4 b3 and 3 a4 b3 are similar ; 2 at b3 and 2 as b4 are not similar . Reduction of

**Polynomials**. 19. The terms of a**polynomial**1 * CH . I. § I. ] 5 DEFINITIONS AND NOTATION . Page 6

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

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

**Polynomials**. 19. The terms of a**polynomial**which are preceded by the signare called the positive terms , and those which are preceded by the sign are ... Page 7

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**polynomial**thus obtained can be reduced to its simplest form by art . 20 . 24. EXAMPLES . Ans . 2 x . 1. Find the sum of a and a . Ans . 2 a . 2. Find the sum of 11 x and 9 x . Ans . 20 x . 3. Find the sum of 11 x and 9x . 4. Find the ...### Other editions - View all

### 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