## College Algebra, Volume 2 |

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### Contents

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### Common terms and phrases

algebra arithmetical means arithmetical progression Article ball binomial binomial expansion binomial theorem called coefficients column common logarithms complex numbers corresponding decimal places degree denominator determinant divergent divided equa equal example expansion exponents expression factor x feet following equations formula function geometrical progression given equation given numbers graphically harmonical means Hence imaginary inches increases without limit inequality infinite number infinite series inversely isin linear equations logarithms logio mantissa mathematical induction means multiplied negative number nth root number of permutations number of terms number system obtain partial fractions polynomial positive integers positive number probability quadratic equation quotient radicals rational roots real numbers real roots represent satisfy series is convergent significant figures solution Solve square subtract synthetic division system of equations theorem tion unknowns values variable write X-axis zero

### Popular passages

Page 186 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.

Page 160 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.

Page 158 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 205 - The value of one of the variables in the solution of n linear equations in n variables consists of a fraction whose denominator is the determinant of the system and whose numerator is...

Page 98 - Newton discovered, as a fundamental law of nature, that every particle attracts every other particle with a force which varies directly as the product of the masses and inversely as the square of the distance between them.

Page 9 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.

Page 115 - Thus ike modulus of the product of two complex numbers is the product of their moduli, and the argument of the product is the sum of their arguments.

Page 161 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.

Page 8 - The value of a fraction is not changed by multiplying or dividing both the numerator and denominator by the same number.

Page 184 - Since the arrangement of candidates on each slate is important (each arrangement represents people running for different political offices), this is a permutations problem. Recalling the general formula for the number of permutations of n things taken r at a time, nPr = n\l(n - r)!, we replace n by 10 and r by 3 to obtain 10!