College AlgebraScott, Foresman, 1901 - 777 σελίδες |
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Σελίδα 25
... Polynomial of Plus Terms by a Plus Monomial . From 27 , Law V , a ( b + c ) = ab + ac the following rule is derived : Multiply each term of the multiplicand by the multiplier , and add the partial products . EXAMPLE . - Multiply 2x3 + ...
... Polynomial of Plus Terms by a Plus Monomial . From 27 , Law V , a ( b + c ) = ab + ac the following rule is derived : Multiply each term of the multiplicand by the multiplier , and add the partial products . EXAMPLE . - Multiply 2x3 + ...
Σελίδα 47
... - stituted for the other . 48. Subtraction of Polynomials . EXAMPLE 1. Subtract 7 x'y - 5 ab + 2m2 from 4x3y - 3 ab +5 n . Changing the sign of each term of the subtrahend ( 8847 , 48 ] 47 SUBTRACTION AND THE NEGATIVE INTEGER.
... - stituted for the other . 48. Subtraction of Polynomials . EXAMPLE 1. Subtract 7 x'y - 5 ab + 2m2 from 4x3y - 3 ab +5 n . Changing the sign of each term of the subtrahend ( 8847 , 48 ] 47 SUBTRACTION AND THE NEGATIVE INTEGER.
Σελίδα 53
... Find the product of — 3a23 , 5 b2c3 , and —9 cd2 . Since there are two negative factors , the product is positive . Whence ( -3a2b3 ) ( 5b ) ( -9 cd ) = 135a2bc'd2 . 57. Multiplication of Polynomials by Monomials . - The third.
... Find the product of — 3a23 , 5 b2c3 , and —9 cd2 . Since there are two negative factors , the product is positive . Whence ( -3a2b3 ) ( 5b ) ( -9 cd ) = 135a2bc'd2 . 57. Multiplication of Polynomials by Monomials . - The third.
Σελίδα 54
... Polynomials by Polynomials . From the preceding sections , ( a + b ) ( c — d ) = ( a + b ) c + ( a + b ) ( − d ) ac + be ( a + b ) d [ Law V , and 41 , 6 ] 1 . ( a + b ) ( c + d ) = ( a + b ) c + ( a + b ) d = ac + be + ad + bd . [ Law ...
... Polynomials by Polynomials . From the preceding sections , ( a + b ) ( c — d ) = ( a + b ) c + ( a + b ) ( − d ) ac + be ( a + b ) d [ Law V , and 41 , 6 ] 1 . ( a + b ) ( c + d ) = ( a + b ) c + ( a + b ) d = ac + be + ad + bd . [ Law ...
Σελίδα 55
... polynomial is arranged in descending powers of some letter , x , if the highest power of a comes in the first term , the next highest in the second term , and so on ; in ascending powers of x , if the powers of x are arranged in the ...
... polynomial is arranged in descending powers of some letter , x , if the highest power of a comes in the first term , the next highest in the second term , and so on ; in ascending powers of x , if the powers of x are arranged in the ...
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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.