 | Arthur Schultze - Algebra - 1906 - 584 pages
...x(a + b + c) = ax + bx + cx. TT ax + bx -+• cx , ' Hence — — - — — = a + b + c. x To divide a polynomial by a monomial, divide each term of the dividend by the monomial and add the partial quotients thus formed. -- 2 3. , + 5 L -3xyz2 EXERCISE 29 Perform the... | |
 | Arthur Schultze - Algebra - 1918 - 336 pages
...с) = аж + bx + еж. TT ax -\- bx + ex , i , Hence — :!: - — — = а + & + c. £B To divide a polynomial by a monomial, divide each term of the dividend by the monomial and add the partial quotients thus formed. E - 6 яРуУ - 15 ayV + 3 xyz* = 2 2 2 g _ L... | |
 | John Charles Stone, James Franklin Millis - Algebra - 1911 - 698 pages
...the result the quotients of the literal factors obtained by the above law of exponents. (5) To divide a polynomial by a monomial, divide each term of the dividend by the divisor, and add the partial quotients obtained. EXERCISES Divide as indicated : -16. +JM. -12. +32. -21. +63... | |
 | Fletcher Durell - Algebra - 1912 - 300 pages
...the fact that ac + be ac . be . , This is called the Distributive Law of Division. Hence, to divide a polynomial by a monomial, Divide each term of the dividend by each term of the divisor, and connect the results by the proper signs. Ex. 1. Divide 12a3x - 10a2y... | |
 | George Wentworth, David Eugene Smith - Algebra - 1913 - 312 pages
...in. 10yd. 4 in. !ten +1 2)10/+ 4i 4)40-3 + 16-5 9)9i + 9 5/+ 2 i 10-3+4-5 í + 1 That is, to divide a polynomial by a monomial, Divide each term of the dividend by the divisor and add the partial quotients. If we divide zero by any number, the result is zero. Division by zero... | |
 | Fletcher Durell - 1914 - 462 pages
...+ be ac . be , , = b — = a + b This is called the Distributive Law of Division. Hence, to divide a polynomial by a monomial, Divide each term of the dividend by each term of the divisor, and connect the residís by the proper signs. Ex. 1. Divide 12a3z - Ш2у... | |
 | Fletcher Durell - Algebra - 1914 - 606 pages
...the fact that ac + be ac . be , , This is called the Distributive Law of Division. Hence, to divide a polynomial by a monomial, Divide each term of the dividend by each term of the divisor, and connect the results by the proper signs. Ex. 1. Divide I2a3x - Wa2y +... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...yd. 2 in. 5 tens + 1 3)12/+6t 8)40-7 + 16 -9 5)25 1 + 5 4/+ 2 1 5-7+ 2-9 5t + l That is, to divide a polynomial by a monomial, Divide each term of the dividend by the divisor and add the partial quotients. If we divide zero by any number, the quotient is zero. Division by zero... | |
 | Julius Lederer Neufeld - Algebra - 1920 - 412 pages
...3x?/4 -' xy — 2. Divide 10a3l+1 - 15a3* by 5a21. Performing the division as in arithmetic, Hence the Rule for Dividing a Polynomial by a Monomial : Divide each term of the dividend by the divisor and connect the various quotients by their proper signs. EXERCISE 21 Divide : 1. a2 + ab by a. 2. x2... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...Division of a polynomial by a monomial. Division is the inverse of multiplication, therefore the Rule. In dividing a polynomial by a monomial, divide each term of the dividend by the divisor and write the partial quotients, each with its own sign, in a new polynomial. The following is a convenient... | |
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Since, in multiplying a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier ; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according... 
