College AlgebraScott, Foresman, 1901 - 777 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 79.
Σελίδα 62
... quotients . EXAMPLE . - Divide 12 ab3 - 20 a3c — 16 a1be3 by -4a2 . - 4a2 20 a3c - 4a2 16 a1bc3 - 4a2 12 a2b3 20 a3c - 16 ... quotient . Multiply the whole divisor by this term , and subtract the product from the dividend , arranging the ...
... quotients . EXAMPLE . - Divide 12 ab3 - 20 a3c — 16 a1be3 by -4a2 . - 4a2 20 a3c - 4a2 16 a1bc3 - 4a2 12 a2b3 20 a3c - 16 ... quotient . Multiply the whole divisor by this term , and subtract the product from the dividend , arranging the ...
Σελίδα 63
... Quotient 321 = 800 321 25359 + 22470 Partial + 70 22470 321 quotients . 2889 + 2889 2889 + 9 321 879 Quotient . EXAMPLE 2 . Divide x2 - 2xy + y2 by x − y . -- x2 -2xy + y2 | x y Divisor . x2 xy x y Quotient . xy + y2 xy + y2 The reason ...
... Quotient 321 = 800 321 25359 + 22470 Partial + 70 22470 321 quotients . 2889 + 2889 2889 + 9 321 879 Quotient . EXAMPLE 2 . Divide x2 - 2xy + y2 by x − y . -- x2 -2xy + y2 | x y Divisor . x2 xy x y Quotient . xy + y2 xy + y2 The reason ...
Σελίδα 64
... Quotient . - - ( a2 — b2 ) x2 + ( l3 — a3 ) x + ab ( a2 — b2 ) - ( a2 —b2 ) x2 — ( a3 ab2 + a2b b3 ) x - - ab ( ab ) x + ab ( a2 — b2 ) ab ( ab ) x + ab ( a2 — b2 ) - 70. It may happen as in Arithmetic , that the division can not be ...
... Quotient . - - ( a2 — b2 ) x2 + ( l3 — a3 ) x + ab ( a2 — b2 ) - ( a2 —b2 ) x2 — ( a3 ab2 + a2b b3 ) x - - ab ( ab ) x + ab ( a2 — b2 ) ab ( ab ) x + ab ( a2 — b2 ) - 70. It may happen as in Arithmetic , that the division can not be ...
Σελίδα 65
... quotient , at any stage , by the divisor , plus the remainder at this stage . Thus , and . ' . 4959 + 1 = 91 ... quotient of : 1. a2 + 2ab + b2 by a + b a2 + 2ab + b2 a + b Divisor a2 + ab a + b Quotient a b + b2 ab + b2 a2 - b2 2 . = a ...
... quotient , at any stage , by the divisor , plus the remainder at this stage . Thus , and . ' . 4959 + 1 = 91 ... quotient of : 1. a2 + 2ab + b2 by a + b a2 + 2ab + b2 a + b Divisor a2 + ab a + b Quotient a b + b2 ab + b2 a2 - b2 2 . = a ...
Σελίδα 68
... quotient gives C and a are numbers . it such narrow limits as to make division an unimportant operation as compared with addition , multiplication , and subtraction as dis- cussed in Chapter III . This restriction on division can be ...
... quotient gives C and a are numbers . it such narrow limits as to make division an unimportant operation as compared with addition , multiplication , and subtraction as dis- cussed in Chapter III . This restriction on division can be ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ algebraic Arithmetic ax² b₁ binomial Binomial Theorem c₁ CHAPTER coefficients common convergent corresponding cube root decimal definition denominator determinant difference divided division divisor equal equivalent example exponent expression factors figures Find the number formula fraction given equation greater Hence imaginary increases inequality integer irrational less limit log 1+r logarithm mantissa mathematical induction monomial multiplied negative number nth root number of terms P₁ partial fractions polynomial positive integer positive number problem quadratic quadratic equation quotient rational remainder result rule satisfy second degree second member solution Solve the equations square root substituting subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities Va² zero
Δημοφιλή αποσπάσματα
Σελίδα 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Σελίδα 666 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Σελίδα 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Σελίδα 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Σελίδα 588 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Σελίδα 181 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Σελίδα 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Σελίδα 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Σελίδα 588 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.