Algebra for Beginners |
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Page 2
... coefficient . But the word coefficient is also used in a wider sense , and it is sometimes convenient to consider any factor , or factors , of a product as the coefficient of the remaining factors . Thus in the product 6abc , 6a may be ...
... coefficient . But the word coefficient is also used in a wider sense , and it is sometimes convenient to consider any factor , or factors , of a product as the coefficient of the remaining factors . Thus in the product 6abc , 6a may be ...
Page 3
... coefficient and index . Example 1. What is the difference in meaning between 3a and a3 ? By 3a we mean the product ... coefficients which are greater than unity are usually kept in the form of improper fractions . Example 4. If a = 6 , x ...
... coefficient and index . Example 1. What is the difference in meaning between 3a and a3 ? By 3a we mean the product ... coefficients which are greater than unity are usually kept in the form of improper fractions . Example 4. If a = 6 , x ...
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... coefficient and index ; confusion between these is such a fruitful source of error with beginners that it may not be unnecessary once more to dwell on the distinction . Example . Here When c = 5 , find the value of c4 - 4c + 2c3 - 3c2 ...
... coefficient and index ; confusion between these is such a fruitful source of error with beginners that it may not be unnecessary once more to dwell on the distinction . Example . Here When c = 5 , find the value of c4 - 4c + 2c3 - 3c2 ...
Page 8
... coefficients , they are called like , otherwise they are called unlike . Thus 3a , 7a ; 5a b , 2a2b ; 3a3b2 , - 4a3b2 are pairs of like terms ; and 4a , 3b ; 7a2 , 9a2b are pairs of unlike terms . Addition of Like Terms . Rule I. The ...
... coefficients , they are called like , otherwise they are called unlike . Thus 3a , 7a ; 5a b , 2a2b ; 3a3b2 , - 4a3b2 are pairs of like terms ; and 4a , 3b ; 7a2 , 9a2b are pairs of unlike terms . Addition of Like Terms . Rule I. The ...
Page 9
... coefficients of all the positive terms and the coefficients of all the negative terms ; the difference of these two results , preceded by the sign of the greater , will give the coefficient of the sum required . - -8x is 9x , for the ...
... coefficients of all the positive terms and the coefficients of all the negative terms ; the difference of these two results , preceded by the sign of the greater , will give the coefficient of the sum required . - -8x is 9x , for the ...
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Common terms and phrases
A's age a²+b² acres algebraical sum Arithmetic arranged B's age beginner binomial cents CHAPTER coefficient Completing the square compound expressions contains convenient descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII 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 Simplify simultaneous equations Solve the equations square root subtract Transposing trinomial unknown quantities walk whence write yards
Popular passages
Page 160 - An equation which contains the square of the unknown quantity, but no higher power, is called a quadratic equation, or an equation of the second degree. If the equation contains both the square and the first power of the unknown, it is called...
Page 188 - Elementary Trigonometry" etc Edited mi*l Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math. Deft., Bryn Mauir College, Pa. 1 6mo. Cloth. 75 cents. " Evidently the work of a thoroughly good teacher. The elementary truth, that arithmetic is common sense, is the principle which pervades the whole book, and no process, however simple, is deemed unworthy of clear explanation. Where it seems advantageous, a rule is given after the explanation. . . . Mr. Lock's admirable Trigonometry...
Page 105 - 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 - 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 87 - 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 89 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.