Elementary Algebra |
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a²+ab+b² a²b a²b² a²x a³b ab+b² ab² ab³ arithmetical arithmetical means ax² binomial called coefficient common factor commutative law contains coördinates decimal denominator dividing division divisor equa equal EXERCISE exponent Extract the square Find the H. C. F. Find the number Find the product Find the sum Find the value following equations following expressions fraction geometrical progression given equations graph Hence indicated inequality integral less letters logarithm mantissa monomial multiplying negative number nth root number exceeds number of permutations polynomial proportion quadratic equation quotient radical ratio remainder simple equation simplifying solutions Solve the equation Solve the following square root substituting subtracting surds tion transposing and uniting type form unknown quantity VERIFICATION x²y x²y² x³y xy² xy³ zero
Popular passages
Page 204 - The first term of the root is the square root of the first term of the trinomial; ie, a=^/o2.
Page 123 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 369 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 359 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Page 34 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (8aft — 12ac) -*- 4a = 2ft — 3c.
Page 37 - 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 330 - The volume of a sphere varies as the cube of the radius, and the surface area of a, sphere as the square of the radius.
Page 263 - Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259.
Page 333 - It will be observed that the coefficient of d in any term is one less than the number of the term. Hence, in the nth, or last term, the coefficient of d will be n — 1.
Page 369 - Whence x + y is the logarithm of mn. q. BD 10. Prop. 2. — Tlie logarithm of the quotient of two numbers is the logarithm, of the dividend minus the logarithm of the divisor.