The Complete Algebra: For High Schools, Preparatory Schools, and Academics |
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Common terms and phrases
5th root a²-b² a²+2ab+b² added Algebra Arithmetic binomial cents coefficient common denominator common divisor common factors contains cube root decimal demonstration Demonstration.-Let Demonstration.-This difference Divide dividend division equal factors expression Extract the cube Extract the square figure Find the H. C. D. Find the value given number gives Hence Illustration IMPROPER FRACTIONS indicated integer integral or mixed literal notation lowest terms metic minuend minus mixed number Model Solution monomial multiplicand Multiply negative exponents numerator and denominator Operation parenthesis polynomial positive Prob problem Prod Prop pupil Q. E. D. EXAMPLES Quot quotient radical sign ratio Reduce remainder represented resolved Result rule Rule.-I Scholium second term signifies signs changed similar terms Solve square root subtract subtrahend Suggestion trial divisor trinomial True Divisor unknown quantity Whence write x²-y²
Popular passages
Page 60 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 77 - A Common Multiple of two or more numbers is an integral number which contains each of them as a factor, or which is divisible by each of them. The Least Common Multiple of two or more numbers is the least integral number which is divisible by each of them.
Page 175 - Then divide the first term of the remainder by the first term of the divisor...
Page 16 - 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 283 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 349 - EXTRACT THE SQUARE ROOT OF EACH MEMBER, THUS PRODUCING A SIMPLE EQUATION FROM WHICH THE VALUE OF THE UNKNOWN QUANTITY IS FOUND BY SIMPLE TRANSPOSITION.
Page 152 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 114 - Multiply each numerator into all the denominators except its own, for a new numerator ; and all the denominators into each other continually for a common denominator ; this written under the several new numerators will give the fractions required.
Page 16 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.