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" Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend. "
The popular educator - Page 221
by Popular educator - 1860
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First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 368 pages
...of the factors, the first term of the quotient (which is one of the factors) is obtained by dividing the first term of the dividend by the first term of the divisor. If we multiply the divisor by this first term of the quotient the product is one of the partial products...
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Machinery's Reference Series, Volumes 131-140

1914 - 536 pages
...rules of procedure are: 1. Arrange dividend and divisor according to the power of some one letter. 2. Divide the first term of the dividend by the first term of the divisor. This gives the first term of the quotient. 3. Multiply all the terms of the divisor by the first term...
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Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...powers of some common tetter. As the division proceeds, arrange each remainder in the same way. 2. Divide the first term of the dividend by the first term of the divisor. This quotient is the first term of the quotient. 3. Multiply the first term of the quotient by the...
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Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...powers of some common letter. As the division proceeds, arrange each remainder in the same way. 2. Divide the first term of the dividend by the first term of the divisor. This quotient is the first term of the quotient. 3. Multiply the first term of the quotient by the...
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Brief Course in Algebra

Raymond Earl Manchester - Algebra - 1915 - 216 pages
...Multiplying (2x* + x) by 2x' 4x* + 2x> Subtracting 2x* + x' Multiylying (2x2 + x) by 1 Subtracting Divide the first term of the dividend by the first term of the divisor. 2x 2 is contained 3x 4 times in 6x 6 3x4 is the first term of the quotient. Other terms of the quotient...
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Elementary Algebra: First Year Course

Florian Cajori, Letitia Rebekah Odell - Algebra - 1915 - 240 pages
...polynomials, and each remainder, according to the ascending or the descending power of some letter. Divide the first term of the dividend by the first term of the divisor for the first term of the quotient. Multiply the entire divisor by the first term of the quotient....
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Intermediate Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1916 - 280 pages
...powers of some common letter. As the division proceeds, arrange each remainder in the same way. 2. Divide the first term of the dividend by the first term of the divisor. This result is the first term of the quotient. 3. Multiply the divisor by the first term of the quotient...
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Elementary Algebra: Second Year Course

Florian Cajori - 1916 - 236 pages
...give plus, unlike signs give minus. To divide one polynomial by another : I. Arrange the terms. II. Divide the first term of the dividend by the first term of the divisor and obtain the first term in the quotient. III. Multiply the divisor by this term in the quotient....
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Elementary Algebra

George William Myers, George Edward Atwood - Algebra - 1916 - 362 pages
...is the quotient of the first term of the dividend divided by the first term of the divisor. Dividing the first term of the dividend by the first term of the divisor, we have a2 for the first term of the quotient. Since the dividend is the algebraic sum of the products...
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Complete Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...powers of some common letter. As the division proceeds, arrange each remainder in the same way. 2. Divide the first term of the dividend by the first term of the divisor. This result is the first term of the quotient. 3. Multiply the divisor by the first term of the quotient...
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