 | 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 - 474 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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In the first operation we meet with a difficulty in dividing the two polynomials, because the first term of the dividend is not exactly divisible by the first term of the divisor. But if we observe that the co-efficient 4... 
