## Bradbury's Elementary Algebra |

### From inside the book

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**Binomials**130 131 126 Square Root of Numbers Cube Root of Numbers . 139 142 Evolution of Monomials 147 • • 127 Square Root of Polynomials 148 129 To find any Root of a Polynomial 152 SECTION XVII . 154 154 To add Radicals 160 154 To ... Page 17

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**BINOMIAL**is a polynomial of two terms ; as 3x + 3y , or x - y . 31. A RESIDUAL is a**binomial**in which the two terms are connected by the minus sign , as x - y . 32. SIMILAR TERMS are those which have the same powers of the same letters ... Page 49

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**binomial**is the difference between two squares . 1. Find the factors of a2 b . OPERATION . a3 — b2 = ( a + b ) ( a — b ) - We resolve this into its fac- tors at once by the converse of the principle in Theorem IV . Art . 60. Hence ... Page 50

... ( a — 1 ) . - x3 71. Any

... ( a — 1 ) . - x3 71. Any

**binomial**consisting of the difference of the same powers of two quantities , or the sum of the same odd powers , can be factored . For I. The difference of the same powers of two quantities 50 ELEMENTARY ALGEBRA . Page 131

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**BINOMIAL**can be raised to any power by suc- cessive multiplications . But when a high power is re- quired , the operation is long and tedious . The**BINOMIAL**THEOREM , first developed by Sir Isaac Newton , enables us to expand a**binomial**...### Other editions - View all

Bradbury's Elementary Algebra William Frothingham Bradbury,James Howard Eaton No preview available - 2016 |

Bradbury's Elementary Algebra: Designed for the Use of High Schools and ... William Frothingham Bradbury No preview available - 2015 |

Bradbury's Elementary Algebra: Designed for the Use of High Schools and ... William Frothingham Bradbury No preview available - 2019 |

### Common terms and phrases

a²x² Algebra arithmetical mean arithmetical progression binomial binomial theorem cents coefficient cologarithm common difference completing the square cube root Divide dividend division equal Expand extracting the square figures Find the cube Find the factors Find the fourth Find the greatest Find the least Find the square Find the sum Find the value Find two numbers geometrical progression greatest common divisor Hence horse improper fraction integral quantity least common multiple less logarithm lowest terms minus monomial Multiply NOTE number of terms obtain OPERATION polynomial proportion quadratic equation quan quotient radical sign ratio Reduce x² reduced gives remainder RULE second term simplest form Solve the equation square root Substituting this value subtracted Theorem third tities Transposing trial divisor twice unknown quantity x² y² yards

### Popular passages

Page 78 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.

Page 40 - 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 100 - D. The distance from A to D is 34 miles ; the distance from A to B is to the distance from C to D as 2 to 3 ; and £ of the distance from A to B, added to one half the distance from C to D, is three times the distance from .B to C.

Page 44 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.

Page 43 - I. 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 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.

Page 83 - TRANSPOSITION is the changing of terms from one member of an equation to the other, without destroying the equality. The object of transposition is to bring all the unknown terms into one member and all the known into the other, BO that the unknown may become known.

Page 212 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...

Page 209 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.

Page 251 - B had during the whole time; and at the same rate as before B would reach Springfield in 5f days. How far from Boston did they meet? Ans. 42 miles. 163. The product of two numbers is 90 ; and the difference of their cubes is to the cube of their difference as 13 : 3. What are the numbers ? 164. A and B start together from the same place and travel in the same direction. A travels the first day 25 kilometers, the second 22, and so on, travelling each day 3 kilometers less than on the preceding day,...