College AlgebraScott, Foresman, 1901 - 777 σελίδες |
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Αποτελέσματα 6 - 10 από τα 100.
Σελίδα 63
... according to descend- x y [ 267 , Eq . 2 ] y x y [ 268 , Ex . 1 ] ing powers of x , x1 + 2x3 4x2 + 5x 3x2 - 3x2 + 2x - 3 Divisor . x + 1 Quotient . X3 -2x + 3x + 52−3 x + 2x - 3 x2 + 2x co co 3 The same result will be obtained by ...
... according to descend- x y [ 267 , Eq . 2 ] y x y [ 268 , Ex . 1 ] ing powers of x , x1 + 2x3 4x2 + 5x 3x2 - 3x2 + 2x - 3 Divisor . x + 1 Quotient . X3 -2x + 3x + 52−3 x + 2x - 3 x2 + 2x co co 3 The same result will be obtained by ...
Σελίδα 64
... according to the ascending powers of x . Thus , -3 + 5x - 4x2 + x3 + x1 -3 + 2x + x2 --- 3 + 2x + x2 1 x + x2 3x - 5x + x3 3x x - 2x2 x3 -3x2 + 2x3 + 204 -3x2 + 2x3 + x * 69. The operation of division can often be shortened in certain ...
... according to the ascending powers of x . Thus , -3 + 5x - 4x2 + x3 + x1 -3 + 2x + x2 --- 3 + 2x + x2 1 x + x2 3x - 5x + x3 3x x - 2x2 x3 -3x2 + 2x3 + 204 -3x2 + 2x3 + x * 69. The operation of division can often be shortened in certain ...
Σελίδα 96
... according to the factor theorem ( 101 ) by x — y if the expression vanishes when + y is substituted for x ; and is divisible by x + y if the expression vanishes when y is substituted for x . - 1. x . y " is divisible by x Put y for x in ...
... according to the factor theorem ( 101 ) by x — y if the expression vanishes when + y is substituted for x ; and is divisible by x + y if the expression vanishes when y is substituted for x . - 1. x . y " is divisible by x Put y for x in ...
Σελίδα 104
... according to the descending powers of some common letter , and that the exponent of the highest power of that letter in A is equal to or greater than the highest power of that letter in B. Divide A by B ; let a be the quotient and C the ...
... according to the descending powers of some common letter , and that the exponent of the highest power of that letter in A is equal to or greater than the highest power of that letter in B. Divide A by B ; let a be the quotient and C the ...
Σελίδα 114
... According to the rules used in establishing the preceding rule , we have : 1 . ( +2 ) ( 1 ) (土) ( b ) = ( - 9 ) ( - b ) ... and ( + " ' ) ( + b ) = ( − q ) ( + b ) . ' . 1 ) and 2. ( = ) ( − 1 ) = ( + q ) ( —b ) . ' ; a = bq , which ...
... According to the rules used in establishing the preceding rule , we have : 1 . ( +2 ) ( 1 ) (土) ( b ) = ( - 9 ) ( - b ) ... and ( + " ' ) ( + b ) = ( − q ) ( + b ) . ' . 1 ) and 2. ( = ) ( − 1 ) = ( + q ) ( —b ) . ' ; a = bq , which ...
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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.