Elementary Algebra for the Use of Preparatory Schools |
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Page viii
... Remainder Theorem 179 XIV . Fractions ...... 186 Reduction to a Common Denominator .. 193 Addition of Fractions .. 194 Multiplication of Fractions . 201 Division of Fractions ... Reciprocal . Infinity Two Important Theorems . XV ...
... Remainder Theorem 179 XIV . Fractions ...... 186 Reduction to a Common Denominator .. 193 Addition of Fractions .. 194 Multiplication of Fractions . 201 Division of Fractions ... Reciprocal . Infinity Two Important Theorems . XV ...
Page 37
... remainder is a — b ; that is a ( + b ) = a - b . - Again , if we take away -b from a + bb , what is left is a + b . So that if we take away b from a , the remainder is a + b ; that is , - a− ( −b ) = a + b . Thus to give a numerical ...
... remainder is a — b ; that is a ( + b ) = a - b . - Again , if we take away -b from a + bb , what is left is a + b . So that if we take away b from a , the remainder is a + b ; that is , - a− ( −b ) = a + b . Thus to give a numerical ...
Page 76
... remainder 2 ab2 + b3 . The third term of the quotient is similarly 2 ab2 ÷ 2 a Multiply the divisor by b2 and subtract the product from 2 ab2 + b3 , and there is no remainder . Since there is no remainder after the last subtraction ...
... remainder 2 ab2 + b3 . The third term of the quotient is similarly 2 ab2 ÷ 2 a Multiply the divisor by b2 and subtract the product from 2 ab2 + b3 , and there is no remainder . Since there is no remainder after the last subtraction ...
Page 77
... remainder as a new dividend , and go on repeating the process . 82. The following are additional examples : Ex . 1. Divide 3x34x2 + 2x - 1 by 1 - x . The order of the terms in the divisor must first be changed tox + 1 . 3x34x2 + 2x 3 x3 ...
... remainder as a new dividend , and go on repeating the process . 82. The following are additional examples : Ex . 1. Divide 3x34x2 + 2x - 1 by 1 - x . The order of the terms in the divisor must first be changed tox + 1 . 3x34x2 + 2x 3 x3 ...
Page 82
... remainder . [ See Art . 89. ] It is well to separate this remainder from the quotient by a distinctive mark , a line , or a semicolon . 86. NOTE . The foregoing exposition of the division process in its two principal forms ( Arts . 81 ...
... remainder . [ See Art . 89. ] It is well to separate this remainder from the quotient by a distinctive mark , a line , or a semicolon . 86. NOTE . The foregoing exposition of the division process in its two principal forms ( Arts . 81 ...
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7th term a²b a²b² a²x a²x² a³b ab² ab³ absolutely convergent algebraical expression arithmetic means ax² b₁ binomial theorem cents CHAPTER coefficients contain continued fraction convergent denote determinant difference digits Divide dividend division divisor equal equation x² example Find the factors Find the H. C. F. Find the number Find the square Find the sum Find the value finite formula geometrical progression given expression greater Hence indeterminate forms integer less letters limit logarithms monomial Multiply negative nth root number of terms obtain permutations positive integer powers Prove quadratic equation quotient remainder result Show Simplify simultaneous equations Solve the equation square root subtract surds unknown quantities x²y x²y² xy² xy³ zero
Popular passages
Page 46 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 362 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Page 349 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 77 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 362 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".