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Page 39
James William Nicholson. TRANSPOSITION 44. Transposing is transferring a term from one ... second member . By adding +7 to both members of equation ( 1 ) we get ... term may be transposed from one member to the other , provided its sign is ...
James William Nicholson. TRANSPOSITION 44. Transposing is transferring a term from one ... second member . By adding +7 to both members of equation ( 1 ) we get ... term may be transposed from one member to the other , provided its sign is ...
Page 49
... terms , and the terms preceded by the sign are called negative terms . The sign + before the first term is omitted ... second degree ; 3 x3 , 2 a2b , 5 abc are of the third degree . 70. A polynomial is said to be homogeneous when all its ...
... terms , and the terms preceded by the sign are called negative terms . The sign + before the first term is omitted ... second degree ; 3 x3 , 2 a2b , 5 abc are of the third degree . 70. A polynomial is said to be homogeneous when all its ...
Page 59
... term ( +18 ) is the product of the second terms ( +6 , +3 ) of the binomials . whether this is true of the other products . Hence , to multiply x + 8 by x - 5 , we take for the first term 2 , for the second , ( +8 plus 5 ) x , or + 3x ...
... term ( +18 ) is the product of the second terms ( +6 , +3 ) of the binomials . whether this is true of the other products . Hence , to multiply x + 8 by x - 5 , we take for the first term 2 , for the second , ( +8 plus 5 ) x , or + 3x ...
Page 62
... term of this remainder , 4 x , divided by the first term of the divisor , x , gives 4 , the second term of the quotient . Multiplying the divisor , x + 5 , by 4 , and subtracting the product , 4x + 20 , from the remainder , leaves 0 ...
... term of this remainder , 4 x , divided by the first term of the divisor , x , gives 4 , the second term of the quotient . Multiplying the divisor , x + 5 , by 4 , and subtracting the product , 4x + 20 , from the remainder , leaves 0 ...
Page 71
... term of the trinomial . 2. To find the second term of the root , divide the middle term of the trinomial by twice the first term of the root . CHECK . The square of the second term of the root must be equal to the third term of the ...
... term of the trinomial . 2. To find the second term of the root , divide the middle term of the trinomial by twice the first term of the root . CHECK . The square of the second term of the root must be equal to the third term of the ...
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Common terms and phrases
9 x² a²b a²b² a²c a²x a²x² a³b ab² ab³ addends arithmetic arithmetic means bers binomial coefficient common factor common multiple Complete the square cost cube root denominator difference digits Divide dividend dollars equal numbers exponent Extract square root Extract the square Find the H. C. F. Find the numbers Find the square Find the sum Find the value formula fraction give the interpretation given numbers graph harmonic means Hence HINT hour integers last term less literal factor minuend monomial NICHOLSON'S ALG nth root nth term numbers is equal polynomial pound quadratic equations quotient radical radicand rational Reduce remainder second term square root Substitute subtract surd Transpose trial divisor trinomial unknown numbers Whence x²y x²y² x³y xy² zero
Popular passages
Page 62 - 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 251 - In any proportion the product of the means is equal to the product of the extremes.
Page 261 - ... is equal to the sum of the volumes of three spheres whose radii are 3, 4, 5 inches.
Page 251 - If the product of two numbers -is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Page 191 - In the first term, the exponent of a is the same as the exponent of the power to which the binomial is raised ; and it decreases by one in each succeeding term.
Page 270 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Page 146 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Page 252 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page 62 - ... of the divisor; multiply the divisor by this term of the quotient, subtract the product from the corresponding terms of the dividend, and to the remainder bring down another term of the dividend.