College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página 117
... reduced to its lowest terms by dividing both numerator and denominator by their G. C. D. , because it contains all the factors common to both terms of the fraction . Reduce the following fractions to their lowest terms . y3 ( x − y ) ...
... reduced to its lowest terms by dividing both numerator and denominator by their G. C. D. , because it contains all the factors common to both terms of the fraction . Reduce the following fractions to their lowest terms . y3 ( x − y ) ...
Página 118
... Reduce a Fraction to an Integral or Mixed Quantity . 3x + 2x + 1 Change to a mixed quantity . Thus : x + 4 3x2 + 2x + 1 x + 4 3.2 + 12x 3r 10 10x x + 1 10x 40 41 Hence , 3x2 + 2x + 1 x + 4 41 - 10+ x + 4 Therefore , If the degree of the ...
... Reduce a Fraction to an Integral or Mixed Quantity . 3x + 2x + 1 Change to a mixed quantity . Thus : x + 4 3x2 + 2x + 1 x + 4 3.2 + 12x 3r 10 10x x + 1 10x 40 41 Hence , 3x2 + 2x + 1 x + 4 41 - 10+ x + 4 Therefore , If the degree of the ...
Página 119
... Reduce to integral or mixed quantities the following : 23 a 1 . 7 . +4 5 x - 1 a2 + 2ab a3 + b3 2 . 8 . a + b a + ab + b3 36a2c + 3c . x— yo 3 . 9 . 9 x + y 83 + 562 4 . 10 . 4x2 2x + 3x + 5 . 5 . 11 . 2x + 3 8x55x3 - 3 4x2 + 3 a2 + abx ...
... Reduce to integral or mixed quantities the following : 23 a 1 . 7 . +4 5 x - 1 a2 + 2ab a3 + b3 2 . 8 . a + b a + ab + b3 36a2c + 3c . x— yo 3 . 9 . 9 x + y 83 + 562 4 . 10 . 4x2 2x + 3x + 5 . 5 . 11 . 2x + 3 8x55x3 - 3 4x2 + 3 a2 + abx ...
Página 120
James Harrington Boyd. To reduce a mixed quantity to a fraction , multiply the integral part by the denominator , to the product annex the numerator , and ... Reduction of Fractions to a Lowest Common Denomi- nator 120 [ 136 COLLEGE ALGEBRA.
James Harrington Boyd. To reduce a mixed quantity to a fraction , multiply the integral part by the denominator , to the product annex the numerator , and ... Reduction of Fractions to a Lowest Common Denomi- nator 120 [ 136 COLLEGE ALGEBRA.
Página 121
James Harrington Boyd. 137. Reduction of Fractions to a Lowest Common Denomi- nator . Some propositions concerning fractions in Arithmetic will now be recalled , and be proved to hold ... Reduction of Fractions to a Lowest Common Denominator.
James Harrington Boyd. 137. Reduction of Fractions to a Lowest Common Denomi- nator . Some propositions concerning fractions in Arithmetic will now be recalled , and be proved to hold ... Reduction of Fractions to a Lowest Common Denominator.
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Términos y frases comunes
a₁ algebraic Arithmetic ax² b₁ binomial binomial theorem C₁ coefficients common divisor convergent corresponding cube root decimal definition determinant difference divided division dollars equal equivalent EXAMPLE EXERCISE exponent expression factors Find the number finite formula fraction given equation greater greatest common divisor Hence imaginary inequality logarithm mantissa mathematical induction monomial Multiply negative number nth root number of terms obtained P₁ polynomial positive integers positive number preceding problem proved quadratic equation quotient rational remainder result rule satisfied second member Simplify solution Solve the equations square root Substitute subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities values zero
Pasajes populares
Página 212 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 664 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 586 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 77 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 69 - 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 60 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Página 568 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 586 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.
Página 198 - A Solution of a system of simultaneous equations is a set of values of the unknown numbers which satisfies all of the equations.
Página 78 - The product of the sum and difference of two numbers is equal to the difference of their squares.