## Advanced AlgebraThis book is designed for use in secondary schools and in short college courses. It aims to present in concise but clear form the portions of algebra that are required for entrance to the most exacting colleges and technical schools. The chapters in 'Algebra to Quadratics' are intended for a review of the subject. The rest of the text concentrates on subjects that are most vital, which is why topics that demand a knowledge of calculus for complete comprehension have been omitted. |

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### Otras ediciones - Ver todas

### Términos y frases comunes

addition algebraic assume axis called changed CHAPTER Check coefficients column common complex consists constant contain continued convergent coördinates corresponding curve defined denominator determinant difference digits Divide division divisor elements equal equation example EXERCISES exponents expression fact factor figure Find following RULE four fraction geometrical given graph greater Hence identity imaginary increased integers interest involving less letters linear equation logarithm means method Multiply negative obtain operations original pair performed places Plot polynomial positive preceding PRINCIPLE problem prove quadratic equation quotient radical rational reduced remainder replaced represent result rule of signs satisfy satisfy the equation scale sides single Solution Solve square root substituted subtract symbols term THEOREM tion units values vanish variable write zero

### Pasajes populares

Página 235 - 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.

Página 51 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...

Página 85 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.

Página 52 - Separate the given number into periods of two figures each, beginning from the units' place. 2d. find the greatest number whose square is contained in the left-hand period ; this is the first figure of the required root. >Subtract its square from the first period, and to the remainder bring down the second period for a dividend.

Página 13 - Multiply the divisor by the first term of the quotient and subtract the product from the dividend.

Página 155 - The number of permutations of n things taken r at a time is n!

Página 12 - The square of any polynomial equals the sum of the squares of the terms plus twice the product of each term by each term which follows it.

Página 51 - 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.

Página 51 - We next multiply the complete divisor by the last term of the root and subtract the product from the last remainder.

Página 25 - The numerator and denominator of a fraction may be multiplied or divided by the same number without changing the value of the fraction.