## New School Algebra |

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... VARIATION 303 XXII . PROGRESSIONS 322 XXIII . VARIABLES AND LIMITS 338 XXIV . PROPERTIES OF SERIES 345 XXV .

... VARIATION 303 XXII . PROGRESSIONS 322 XXIII . VARIABLES AND LIMITS 338 XXIV . PROPERTIES OF SERIES 345 XXV .

**BINOMIAL**THEOREM XXVI . LOGARITHMS XXVII . GRAPHS 352 372 409 NOTICE TO TEACHERS . Pamphlets containing the answers will be. Page 7

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**binomial**; of three terms , a trinomial . Thus , 3 a b is a**binomial**; and 3a - b + c is a trinomial . 33. Plus and Minus Terms . A term preceded by the signis called a plus term ; and a term preceded by the sign is called a minus term ... Page 78

... 2 . 2y - 3z . 17. 2z - y + x . 18. x + y + z + 1 . - 19. xyz − 1 . + 20. 4x + y + z −2 . 21. 2x -- - y 2 -- - 3 . 22. x - 2y - 3 z + 4 . 113. Product of Two

... 2 . 2y - 3z . 17. 2z - y + x . 18. x + y + z + 1 . - 19. xyz − 1 . + 20. 4x + y + z −2 . 21. 2x -- - y 2 -- - 3 . 22. x - 2y - 3 z + 4 . 113. Product of Two

**Binomials**. The product of two 78 SPECIAL RULES OF MULTIPLICATION . Page 79

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**binomials**. The last term of each result is the product of the second terms of the**binomials**. The middle term of each result has for the coefficient of x the algebraic sum of the second terms of the**binomials**. The intermediate step ... Page 80

... ≈ ) . ( x + a ) ( x - b ) . 26. ( x − a ) ( x + b ) . 27. { ( a + b ) +2 } { ( a + b ) −4 } . 28. { ( x + y ) −2 } { ( x + y ) +4 } . 114. In like manner the product of any two

... ≈ ) . ( x + a ) ( x - b ) . 26. ( x − a ) ( x + b ) . 27. { ( a + b ) +2 } { ( a + b ) −4 } . 28. { ( x + y ) −2 } { ( x + y ) +4 } . 114. In like manner the product of any two

**binomials**80 SPECIAL RULES OF MULTIPLICATION .### Other editions - View all

### Common terms and phrases

a²b a²b² a²c a²x a²x² a³b ab² ab³ abscissa arithmetical arithmetical series ax² binomial called cent change the sign coefficient cologarithm common factor Compound Expressions cube root denominator difference digits Divide dividend divisible divisor equal equation exact divisor EXERCISE exponent Extract the square feet Find the H. C. F. Find the number Find the sum find the value fraction geometrical series given number graph Hence highest common factor integral number logarithm mantissa miles an hour monomial Multiply negative number number of dollars number of terms parenthesis positive integer quadratic quadratic equation quotient ratio remainder Resolve into factors smaller number Solve square root Subtract surd THEOREM Transpose unknown numbers variable x²y x²y² xy² yards ΙΟ ах

### Popular passages

Page 27 - Two men start from the same place and travel in the same direction ; one, 5 miles an hour ; the other, 7 miles an hour.

Page 308 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd.

Page 372 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.

Page 300 - If twelve times the units' digit is subtracted from the number, the order of the digits will be reversed. Find the number.

Page 124 - To reduce a fraction to its lowest terms. A fraction is in its lowest terms, when the numerator and denominator are prime to each other.

Page 318 - Given that the area of a circle varies as the square of its radius...

Page 319 - The distance a body falls from rest varies as the square of the time it is falling.

Page 60 - To Multiply a Polynomial by a Monomial, Multiply each term of the polynomial by the monomial, and connect the partial products with their proper signs.

Page 174 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.

Page 332 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.