Shorter Course in Algebra |
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Common terms and phrases
a+b+c a²+2ab+b² a²b a²b² a²x² ab+b² ab² ab³ ac² arithmetical arithmetical series ax³ cents change the sign coefficient Complete the square cube root denominator denote difference digits divisible divisor exponent Extract the root feet Find the H. C. F. Find the number Find the value geometrical series greater number Hence highest common factor lowest common miles minute-spaces in arc MONOMIALS multiplicand Multiply negative number number is expressed number of dollars number of minute-spaces number of terms obtained parenthesis polynomial positive number pounds quadratic equation quotient ratio remainder represent Resolve into factors result second term Simplify smaller number square root Subtract surds twice units unknown quantity x²y x²y² x³y xy² xy³
Popular passages
Page 164 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.
Page 139 - The sum of the two digits of a number is 6, and if the number be divided by the sum of the digits the quotient is 4.
Page 39 - 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.
Page 56 - The square root of a number is one of the two equal factors of the number.
Page 214 - ... 16. There are two roads from A to B, one of them 14 miles longer than the other ; and two roads from B to C, one of them 8 miles longer than the other. The distance from A to B is to the distance from B to C, by the shorter roads, as 1 to 2 ; by the longer roads, as 2 to 3.
Page 89 - Reduce the fractions to equivalent fractions having the lowest common denominator. Subtract the numerator of the subtrahend from the numerator of the minuend.
Page 128 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 18 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Page 27 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Page 164 - The first step in the solution of such an equation is to complete the square; that is, to add to each side the square of the quotient obtained from dividing the second term by twice the square root of the first term.