## Elementary Algebra |

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9 x² a²+ab+b² a²b a²b² a³b ab+b² ab² ab³ arithmetical arithmetical means ax² binomial called coefficient common factor commutative law contains coördinates decimal denominator dividend dividing division divisor equa equal EXERCISE exponent Extract the square Find the H. C. F. Find the number Find the sum Find the value following equations following expressions fraction geometrical progression given equations graph Hence highest common factor 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 solutions Solve the equation Solve the following square root substituting subtracting surds systems of equations tion transposing and uniting unknown quantity VERIFICATION x²y x²y² x³y xy² xy³ zero

### Popular passages

Page 202 - 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 367 - 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 357 - 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 328 - 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 261 - 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 331 - 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 367 - 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.