The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
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Resultados 1-5 de 30
Página 5
... Polynomial is an algebraic expression which con- tains two or more terms ; as , x + y , 3 a + 4 x 7aby , or c + 2 d ― e + 5 d . - 17. A Binomial is a polynomial of two terms ; as , 3x + 3y , or xy . 18. A Trinomial is a polynomial of ...
... Polynomial is an algebraic expression which con- tains two or more terms ; as , x + y , 3 a + 4 x 7aby , or c + 2 d ― e + 5 d . - 17. A Binomial is a polynomial of two terms ; as , 3x + 3y , or xy . 18. A Trinomial is a polynomial of ...
Página 6
... Polynomial is homogeneous if all its terms are of the same degree ; thus , 4 a x2 + 5 a b c + 3 x y2 is a homogeneous polynomial . SIGNS OF EQUALITY , INEQUALITY , GROUPING , ETC. = 25. Equality is denoted by the sign ( read , equals ...
... Polynomial is homogeneous if all its terms are of the same degree ; thus , 4 a x2 + 5 a b c + 3 x y2 is a homogeneous polynomial . SIGNS OF EQUALITY , INEQUALITY , GROUPING , ETC. = 25. Equality is denoted by the sign ( read , equals ...
Página 27
... Polynomials . Polynomials are groups of monomials , and hence every- thing necessary to a complete understanding of their addi- tion has been explained in the three foregoing cases . 60. If in the various operations with polynomials the ...
... Polynomials . Polynomials are groups of monomials , and hence every- thing necessary to a complete understanding of their addi- tion has been explained in the three foregoing cases . 60. If in the various operations with polynomials the ...
Página 33
... polynomial may be indicated by enclosing the polynomial in a bracket and prefixing the sign + for addition , and the sign for sub- traction . The polynomial d + e − ƒ added to the poly- nomial a + b + c , that is , a + b + c + ( d + e ...
... polynomial may be indicated by enclosing the polynomial in a bracket and prefixing the sign + for addition , and the sign for sub- traction . The polynomial d + e − ƒ added to the poly- nomial a + b + c , that is , a + b + c + ( d + e ...
Página 35
... polynomial can be written in a variety of ways . Thus , 2 x3 - 3x2y + 3x y2 — y3 = x3- ( 3x2y - 3 x y2 + y3 ) = x3 - 3x2y - ( - 3x y2 + y3 ) = x3 — y3 ( 3x2y - 3x y2 ) — - Place in brackets , with the sign prefixed , ADDITION AND ...
... polynomial can be written in a variety of ways . Thus , 2 x3 - 3x2y + 3x y2 — y3 = x3- ( 3x2y - 3 x y2 + y3 ) = x3 - 3x2y - ( - 3x y2 + y3 ) = x3 — y3 ( 3x2y - 3x y2 ) — - Place in brackets , with the sign prefixed , ADDITION AND ...
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Términos y frases comunes
9 a² a b c a² b² a² b³ a²b² a²x² algebraic expressions arithmetical progression b² c² binomial Binomial Theorem bracket cents coefficient cube root denominator digits divided dividend equal examples exponent figures Find the factors Find the greatest Find the number Find the square Find the sum Find the value following Rule geometrical progression given greatest common divisor Hence integral last term least common multiple less logarithm miles an hour mixed number monomial Multiply negative number number of hours number of terms polynomial positive number quadratic equation quotient radical ratio remainder second term simplest form Simplify square root subtracted Theorem Transposing trial divisor unknown number x y z x² y² x²y x³ y² yards
Pasajes populares
Página 53 - 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.
Página 317 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 317 - In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means.
Página 152 - The first term of a ratio is called the antecedent, and the other the consequent ; and the two terms together are called a couplet.
Página 228 - Multiply the true divisor by this neiv root figure, subtract the product from the dividend, and to the remainder annex the next period, for a new dividend.
Página 330 - Any three of the five following things being given, the other two may be found : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms.
Página 61 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 152 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 227 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend.
Página 250 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.