Complete Algebra

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Allyn and Bacon, 1917 - Algebra - 624 pages
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Page 471 - 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 380 - 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 188 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 242 - ... the given expression. 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 108 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 591 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 451 - 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 329 - В working together can do a piece of work in 6 days. A can do it alone in 5 days less than B. How long will it require each when working alone ? 15.
Page 31 - Any term may be transposed from one member of an equation to the other, provided its sign be changed.
Page 149 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.

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