| Charles Davies - Algebra - 1835 - 378 pages
...b, is the greatest common divisor. Here we meet with a difficulty in dividing the two polymonials, **because the first term of the dividend is not exactly...is not a factor of all the terms of the polynomial** divisor, introduce this factor into the dividend. This gives and then the division of the first two... | |
| Algebra - 1838 - 372 pages
...-3a —ab + a2 — Hence, — b+a, or a— b, is the greatest common divisor. In the first operation **we meet with a difficulty in dividing the two polynomials,...is not a factor of all the terms of the polynomial** 462— 5ab+az, and that therefore, by the first principle, 4 cannot form a part of the greatest common... | |
| Charles Davies - Algebra - 1842 - 368 pages
...+a 2 | — 4i+a oTHence, — i+a, or a — i, is the greatest common divisor. In the first operation **we meet with a difficulty in dividing the two polynomials,...is not a factor of all the terms of the polynomial** 4i2— and that therefore, by the first principle, 4 cannot form a part of the greatest common divisor,... | |
| Charles Davies - Algebra - 1845 - 382 pages
...a2 — 46 + 0. Hence, — b + a, or a — b, is the greatest common divisor. In the first operation **we meet with a difficulty in dividing the two polynomials,...divisor. But if we observe that the co-efficient 4,** is not a factor of all the terms of the polynomial 462 — 5ab + a2, and therefore, by the first principle,... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...divisor. 93. Should we find, in commencing the division of the greater by the less polynomial, that **the first term of the dividend is not exactly divisible by the first term of the divisor,** it will be because there is some factor in the first term of the divisor not found in the first term... | |
| John William Colenso - Algebra - 1849 - 262 pages
...If now, having first attended to the directions of ("61), we find, at any step of our process, that **the first term of the dividend is not exactly divisible by the first** of the divisor, then, in order to avoid fractions in the quotient, we may multiply the whole dividend... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...be introduced finally as a factor of the greatest common measure. 51. Also if the first term of any **dividend is not exactly divisible by the first term of the divisor,** it may be made so by multiplying the dividend by the least factor which will avoid fractional quotients.... | |
| Charles Davies - Algebra - 1857 - 408 pages
...Operation. 0. Hence, — 6 + a, or a — 6, is the greatest common divisor. In the first operation **we meet with a difficulty in dividing the two polynomials,...divisor. But if we observe that the co-efficient 4,** is not a factor of all the terms of the polynomial 462 — 5a6 + a2, and therefore, by the first principle,... | |
| Charles Davies - Algebra - 1860 - 412 pages
...Second Operation. 0. Hence, — b + a, or a — b, is the greatest common divisor In the first operation **we meet with a difficulty in dividing the two polynomials,...divisor. But if we observe that the co-efficient 4,** is not a factor of all the terms of the polynomial 462 _ 5ab + ffl2) and therefore, by the first principle,... | |
| John William Colenso (bp. of Natal.) - 1869 - 240 pages
...If now, having first attended to the directions of (61), we find, at any step of our process, that **the first term of the dividend is not exactly divisible by the** the quotient, we may multiply the whole dividend by such a simple factor, as will make its first term... | |
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