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" To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c. "
New Elementary Algebra Embracing the First Principles of the Science - Σελίδα 59
των Charles Davies - 1891 - 294 σελίδες
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1859 - 324 σελίδες
...To divide a polynomial by a monomial. 51. To divide a polynomial by a monomial : Divide each teri.i of the dividend, separately, by the divisor ; the algebraic sum of the quotients mitt be the quotient »might. EXAMPLES. 1. Divide 3a2o2 — a by a. Ans. 3ao2 — 1. 2. Divide 5a3V...

New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1860 - 330 σελίδες
..., 357 Ans. -r_ 10. Reduce -- ^—^-- -Ans. 3a52c2. — 5a~65~ To divide a polynomial by a monomial. 51. To divide a polynomial by a monomial : Divide...sum of the quotients will be the quotient sought. EXAMPLES. 1. Divide 3a252 — a by a. Ans. 3a52 — 1. 61. How do you diride a polynomial by a monomial?...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 432 σελίδες
...terms are alike, prefix the plus sign to the quotient ; if they are unlike, prefix the minus sign. To divide a polynomial by a monomial ; — Divide each term of the dividend separately, and connect the quotients by their proper signs, NOTE. — It may happen that the dividend will not...

Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 σελίδες
...subtract the exponents which affect the same letters, and divide the coefficients one by another. 2. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial according to the rule 1, and connect the results by their proper signs....

New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1864 - 316 σελίδες
...-;-• _ 10. Reduce -- 1-= — =— • Ans. — 5a - Ьb - ' То divide a polynomial by a monomial. 51. To divide a polynomial by a monomial : Divide...divisor ; the algebraic sum of the quotients will be the qiiotient sought. EXAMPLES. 1. Divide 3a252 - а by a. Ans. 3al9 — 1. 2. Divide 5а-b2 — 25аЧ>~...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1864 - 444 σελίδες
...terms are alike, prefix the plus sign to the quotient ; if they are unlike, prefix the minus sign. To divide a polynomial by a monomial ; — Divide each term of the dividend separately, and connect the quotients by their proper signs. NOTE. — It may happen that the dividend will not...

Algebra: Adapted to the Course of Instruction Usually Pursued in the ...

Paul Allen Towne - 1865 - 314 σελίδες
...a;5y525-Ha;5y5z3 14. 15. — 6'Vr--2lV=3y. 16. — 7| a;6y H- — 17. 729xy -H — 27r -t- 6i 18. 69. To divide a polynomial by a monomial : Divide each term of the dividend by the divisor, according to 68. KXAMPLES. 1. Divide a? -\- 2xy + y3 by x. Ans. x + 2y + y3x-1. 2....

New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1873 - 322 σελίδες
...Reduce - - - .•= — =— • Ans. 3a6V. — 5a ~ 6A ~ 7 7b divide a polynomial by a monomial. SI, To divide a polynomial by a monomial : Divide each term of the dividend, separately, by tJ6 divisor ; the algebraic sum of the quotients mill be the quo tient sought. EXAMPLES. 1. Divide...

Algebra Self-taught

W. P. Higgs - 1876 - 120 σελίδες
...subtract the exponents which affect the same letters ; and divide the coefficients one by another. (2). To divide a polynomial by a monomial, — divide each term of the polynomial by the monomial according to the first rule'; connect the results by their proper signs...

Key to the Olney's Science of Arithmetic: In which are Given Full Solutions ...

Edward Olney - 1879 - 172 σελίδες
...should be explained by the pupil in a similar manner. .__ . iamx 16em8a: — ' '' (123.) RULE. — To divide a polynomial by a monomial, divide each term of the polynomial by the divisor, and connect the partial quotients by their own signs. (23.) (24.) 5x ) IQжz...




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