This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1870 Excerpt: ...It Bematntng Which Can Be Exactly Divided By The Fd3st Term Of The Trial Divisor. Dem.--1st. The polynomial is arranged as in division, since such is the order which the terms assume in cubing any polynomial, as the root of the given one similarly arranged. 2nd. In cubing any polynomial, the first term of the cube is ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1870 Excerpt: ...It Bematntng Which Can Be Exactly Divided By The Fd3st Term Of The Trial Divisor. Dem.--1st. The polynomial is arranged as in division, since such is the order which the terms assume in cubing any polynomial, as the root of the given one similarly arranged. 2nd. In cubing any polynomial, the first term of the cube is found to be the cube of the first term of the root; hence, in extracting the cube root, the cube root of this term is (he first term cf the root 3d. To prove the process of finding the divisors and subsequent terms of the root, we observe the following operations: (it () A. (o + 6)- =a? + 3a6 + 3a5- + V =a3 +3a + 3a + 6-b. B. (a + b + c)3 = (a + 6) + ep = (a + &)3 + 3(a + b)1 + 3(o + b)c + cc = (1) ft) ' (3) a3 + 3a + Sab + 626 + 3(a + b)' + 3(a-f 6)c + ec. C. (o + 6 + c-f-a)' = (a + 6 + c) + cZ3 = (a + 6 + c)3 + 3(a + b + c)f + 3(o + 6 + c)d + d')o! = a3 + 3a + 3a5 + &-& + 3(a + b) + 3(a + fc)c + c2c + 3(a + 6 + c)J + 3i, a + 6 + c;d + PJd. Hence it appears; 1st, That the cube of a polynomial is made up of as many parts as there are terms in the root; 2nd, that the first part is the cube of the first term of the root; 3d, That the second part is three times the square of the first term of the root-f-3 times the first term into the second term-f-the square of the second term, multiplied by the second term of the root; 4th, That any one of the parts of the power, as the nth, is Three times the square of the n---1 preceding terms of the root, -f-3 times the product of these terms into the next, or nth term, -j-the square of this last or nth term, all these terms being multiplied by the last, or nth term of the root. Finally, it is evident that, if the work does not terminate by tliis process when the letter of arrange...
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Add this copy of The Complete School Algebra: Embracing Simple and to cart. $51.93, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Kessinger Publishing, LLC.
Add this copy of The Complete School Algebra: Embracing Simple And to cart. $64.96, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2010 by Kessinger Publishing.
Add this copy of The Complete School Algebra: Embracing Simple And to cart. $64.96, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2010 by Kessinger Publishing.
Add this copy of The Complete School Algebra: Embracing Simple and to cart. $67.74, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Kessinger Publishing.
Add this copy of The Complete School Algebra: Embracing Simple and to cart. $67.74, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Kessinger Publishing.
Add this copy of The Complete School Algebra: Embracing Simple And to cart. $84.81, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2010 by Kessinger Publishing.
Add this copy of The Complete School Algebra: Embracing Simple and to cart. $87.73, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Kessinger Publishing.
