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

### From inside the book

Results 1-5 of 16

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**continued product**of 3 , 5 , and 7. Likewise 12 × a × b , or 12. a . b , or 12 ab , is the**continued product**of 12 , a , and b . 5. The factor of a product is sometimes called its coefficient , and the numerical factor is called the ... Page 9

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**continued product**of several 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 ... Page 10

... product . Hence the coefficient of the product of given mono- mials is the product of their coefficients . The ...

... product . Hence the coefficient of the product of given mono- mials is the product of their coefficients . The ...

**continued product**of 3 a b , 2 cd , and e f g . 3. Multiply am by a " . Ans . 6 abcdefg . Ans . am + n . 4. Find the ... Page 12

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**continued product**of -a , -a , -a , and a . Ans . a * . 9. Find the**continued product**of -a2b , c2 e , -a , -e3 x2 , c , -2 ax , -3a bex , -7 , and b3 23 . Ans . 42 a5 b5 c3 e5 x7 . 10. Find the**continued product**of 7 a b x , -ax , —x ... Page 13

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**continued product**of 3x + 2y , 2x - 3y , −x + y , and —2x . y . Ans . 12x4-16 x3 y —13 x2 y2 + 11 x y3 + 6 y1 . 18 ...**continued product**of several monomials is , as in examples 8 and 9 , positive , when the number of negative factors ...### 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