University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página vi
... Binomials - Binomial Formula ... Powers of Polynomials .... 120 123 132 CHAPTER VII . Extraction of Roots .... 135 Square Root of Numbers ... 136 Square Root of Fractions .. 140 Square Root of Decimals ... Cube Root of Numbers .. Higher ...
... Binomials - Binomial Formula ... Powers of Polynomials .... 120 123 132 CHAPTER VII . Extraction of Roots .... 135 Square Root of Numbers ... 136 Square Root of Fractions .. 140 Square Root of Decimals ... Cube Root of Numbers .. Higher ...
Página viii
... ... 802 APPENDIX . Principles employed in Factoring ...... 808 General Demonstration of Binomial Theorem . 814 Summation of Series .... 318 ELEMENTS OF ALGEBRA . INTRODUCTION , 1. QUANTITY is anything viii CONTENTS .
... ... 802 APPENDIX . Principles employed in Factoring ...... 808 General Demonstration of Binomial Theorem . 814 Summation of Series .... 318 ELEMENTS OF ALGEBRA . INTRODUCTION , 1. QUANTITY is anything viii CONTENTS .
Página 15
... Binomial is a polynomial of two terms ; as , a c + d , ( e + ƒ ) x , Ex + y . 12. A Trinomial is a polynomial of three terms ; as , 2xy + y2 , a + 3b3 + x . a + b + c , x2 - ― The degree of a term is the number of its literal factors ...
... Binomial is a polynomial of two terms ; as , a c + d , ( e + ƒ ) x , Ex + y . 12. A Trinomial is a polynomial of three terms ; as , 2xy + y2 , a + 3b3 + x . a + b + c , x2 - ― The degree of a term is the number of its literal factors ...
Página 41
... binomial factors . Let the student verify the following additional form ulas , by actual multiplication and division : 4. ( x + α ) ( x + b ) = x2 + ( a + b ) x + xb . 5. ( x2 + xy + y2 ) ( x − y ) = x3 — y3 . - 6. ( x2xy + y2 ) ( x + ...
... binomial factors . Let the student verify the following additional form ulas , by actual multiplication and division : 4. ( x + α ) ( x + b ) = x2 + ( a + b ) x + xb . 5. ( x2 + xy + y2 ) ( x − y ) = x3 — y3 . - 6. ( x2xy + y2 ) ( x + ...
Página 43
... binomial are squares , and have contrary signs , the binomial may be factored by means of Formula ( 3 ) , as in the following examples : 21. Factor a2 — b2 . - 22. Factor 4x2 FACTORING . 43 CHAPTER II 18.
... binomial are squares , and have contrary signs , the binomial may be factored by means of Formula ( 3 ) , as in the following examples : 21. Factor a2 — b2 . - 22. Factor 4x2 FACTORING . 43 CHAPTER II 18.
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Términos y frases comunes
algebraic Arithmetic ax² Binomial Formula Clearing of fractions coefficients common difference containing contrary signs cube root Davies denominator denote the number distance dividend divisible equal roots equation whose roots EXAMPLES exponent expressions Extract the square factors Find the cube Find the fourth Find the greatest Find the square following RULE geometrical progression given equation greatest common divisor Hence imaginary indicated irreducible fraction last term least common multiple Let x denote logarithm miles monomial Multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quotient radical sign real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root STURM'S THEOREM Substituting subtract third Transform the equation Transposing travels unknown quantity Whence whole number write X₁
Pasajes populares
Página 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Página 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 36 - 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 81 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 231 - If four quantities are in proportion, they will be in proportion by COMPOSITION...
Página 72 - 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.