Intermediate Algebra

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Allyn and Bacon, 1916 - Algebra - 256 pages
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Page 127 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Page 118 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Page 105 - The number of vibrations per second of a pendulum varies inversely as the square root of the length. If a pendulum 39.1 inches long vibrates once in each second, how long is a pendulum which vibrates 3 times in each second ? 13.
Page 34 - R is not zero, and the division is not exact. That is, x — a is not a factor of D. Hence : If a polynomial in x reduces to zero when a particular number a is substituted for x, then x — a is a factor of the polynomial, and if the substitution of a for x does not reduce the polynomial to zero, then x — a is not a factor.
Page 243 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 247 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 110 - The weight of a body above the earth's surface varies inversely as the square of its distance from the earth's center. If an object weighs 2000 pounds at the earth's surface, what would be its weight if it were 12,000 miles above the center of the earth, the radius of the earth being 4000 miles ? CHAPTER X EXPONENTS AND RADICALS FRACTIONAL AND NEGATIVE EXPONENTS 174.
Page 41 - Both terms of a fraction may be multiplied by the same number without changing the value of the fraction.
Page 235 - ... preceding term by the exponent of a in that term and dividing this product by a number one greater than the exponent of b in that term.
Page 226 - A geometric progression is a series of numbers in which any term after the first is obtained by multiplying the preceding term by a fixed number, called the common ratio. The...

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