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Page 98 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 499 - If all the elements of a, row (or column) are multiplied by the same number, as k, the determinant is multiplied by k.
Page 433 - Or we may enunciate the laws thus : the coefficient of the second term with its sign changed is equal to the sum of the roots ; the coefficient of the third term is equal to the sum of the products of...
Page 434 - Find the sum of the squares of the roots of the equation 2xa-3x2-4x- 5 = 0.
Page 378 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 450 - Suppose now a polynomial formed of the product of the factors corresponding to the negative and imaginary roots of an equation ; the effect of multiplying this by each of the factors x - a, x...
Page 109 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 233 - It must not be inferred, from what has just been said, that the conqueror can have no control or government of hostile territory, unless he occupies it with an armed force.