Algebra for Beginners |
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Page 14
... Find the sum of 6x3- 5x , 2x2 , 5x , - 2x3 , -3x2 , 2 . 6x3 - 5x + 2x2 + 5x − 2x3 – 3x2 + 2 The sum = - = 6x3 - 2x3 ... highest power of x , in the second term the next highest power , and so on till the last term in which a does not ...
... Find the sum of 6x3- 5x , 2x2 , 5x , - 2x3 , -3x2 , 2 . 6x3 - 5x + 2x2 + 5x − 2x3 – 3x2 + 2 The sum = - = 6x3 - 2x3 ... highest power of x , in the second term the next highest power , and so on till the last term in which a does not ...
Page 70
... find the number of acres in the farm . 27. Find a number such that if we divide it by 10 and then divide 10 by the ... Highest Common Factor of 70 [ CHAP . XI . ALGEBRA .
... find the number of acres in the farm . 27. Find a number such that if we divide it by 10 and then divide 10 by the ... Highest Common Factor of 70 [ CHAP . XI . ALGEBRA .
Page 71
... highest common factor of two or more algebraical expressions is the expression of highest dimen- sions [ Art . 68 ] ... find by Arithmetic their greatest common measure , and prefix it as a coefficient to the algebraical highest common ...
... highest common factor of two or more algebraical expressions is the expression of highest dimen- sions [ Art . 68 ] ... find by Arithmetic their greatest common measure , and prefix it as a coefficient to the algebraical highest common ...
Page 72
... find by Arithmetic their least common multiple , and prefix it as a co ... Find the lowest common multiple of 1. xyz , 3y3 . 2. a2b4 , abc . 3 . 2x3y , 3xy2z . 4 ... highest common factor and the lowest common multiple of 17. 2ab2 , 3a2b3 ...
... find by Arithmetic their least common multiple , and prefix it as a co ... Find the lowest common multiple of 1. xyz , 3y3 . 2. a2b4 , abc . 3 . 2x3y , 3xy2z . 4 ... highest common factor and the lowest common multiple of 17. 2ab2 , 3a2b3 ...
Page 105
... highest power is not unity . Again , referring to Chap . v . Art . 48 , we may write down the following results ... find that it is not XVII . ] 105 RESOLUTION INTO FACTORS .
... highest power is not unity . Again , referring to Chap . v . Art . 48 , we may write down the following results ... find that it is not XVII . ] 105 RESOLUTION INTO FACTORS .
Common terms and phrases
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Popular passages
Page 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Page 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Page 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Page 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.