New Elementary Algebra Embracing the First Principles of the ScienceAmerican book Company, 1891 - 294 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 37
... binomial is a polynomial of two terms ; as , a + b , 3a2- c2 , 6ab - c2 . 23. A trinomial is a polynomial of three terms ; as , abc - a3 c3 , ab - gh - f . 24. Homogeneous terms are those which are of the same degree . Thus , the terms ...
... binomial is a polynomial of two terms ; as , a + b , 3a2- c2 , 6ab - c2 . 23. A trinomial is a polynomial of three terms ; as , abc - a3 c3 , ab - gh - f . 24. Homogeneous terms are those which are of the same degree . Thus , the terms ...
Σελίδα 39
... binomial of the first degree , of the second , of the third , fourth , fifth , sixth . 15. Write a homogeneous trinomial of the first degree , with its second and third terms negative ; of the second degree ; of the third ; of the ...
... binomial of the first degree , of the second , of the third , fourth , fifth , sixth . 15. Write a homogeneous trinomial of the first degree , with its second and third terms negative ; of the second degree ; of the third ; of the ...
Σελίδα 71
... binomial , and squared . Thus , ( a + b + c ) 2 = [ a + ( b + c ) ] 2 = a2 + ( b + c ) 2 + 2 a ( b + c ) = a2 + b2 + c2 + 2 ab + 2ac + 2bc ; ( a + b + c + d ) 2 = [ ( a + b ) + ( c + d ) ] 2 = = ( a + b ) 2 + ( c + d ) 2 + 2 ( ...
... binomial , and squared . Thus , ( a + b + c ) 2 = [ a + ( b + c ) ] 2 = a2 + ( b + c ) 2 + 2 a ( b + c ) = a2 + b2 + c2 + 2 ab + 2ac + 2bc ; ( a + b + c + d ) 2 = [ ( a + b ) + ( c + d ) ] 2 = = ( a + b ) 2 + ( c + d ) 2 + 2 ( ...
Σελίδα 75
... binomial are squares , and have contrary signs , the binomial may be factored by Formula 3 . Thus , Factor the following : ( 1 ) 4 c2 - b2 . ( 2 ) 81 a2c2 - 9b2c2 . -- ( 3 ) 64 a * b * - 25 x2y2 . ( 4 ) 25 a2c - 9x * y3 . ( 5 ) 36 a * b ...
... binomial are squares , and have contrary signs , the binomial may be factored by Formula 3 . Thus , Factor the following : ( 1 ) 4 c2 - b2 . ( 2 ) 81 a2c2 - 9b2c2 . -- ( 3 ) 64 a * b * - 25 x2y2 . ( 4 ) 25 a2c - 9x * y3 . ( 5 ) 36 a * b ...
Σελίδα 76
... binomial are cubes , and have like signs , the binomial may be factored by Formula 5. Thus , Factor the following : - ( 1 ) 8a3 + c3 . ( 2 ) 27 a3 + 64 . ( 3 ) a3 + 64b3 . ( 4 ) a3 + 2763 . Ans . ( 2a + c ) ( 4a2 - 2ac + c2 ) . Ans ...
... binomial are cubes , and have like signs , the binomial may be factored by Formula 5. Thus , Factor the following : - ( 1 ) 8a3 + c3 . ( 2 ) 27 a3 + 64 . ( 3 ) a3 + 64b3 . ( 4 ) a3 + 2763 . Ans . ( 2a + c ) ( 4a2 - 2ac + c2 ) . Ans ...
Άλλες εκδόσεις - Προβολή όλων
New Elementary Algebra: Embracing the First Principles of the Science Charles Davies Πλήρης προβολή - 1865 |
New Elementary Algebra: Embracing the First Principles of the Science Charles Davies Πλήρης προβολή - 1860 |
New Elementary Algebra: Embracing the First Principles of the Science Charles Davies Πλήρης προβολή - 1873 |
Συχνά εμφανιζόμενοι όροι και φράσεις
22 cents a²b² ab² ab³ algebraic algebraic quantities arithmetical arithmetical means binomial bought Charles coefficient common difference Completing the square contains cost cube root denominator denote the number distance traveled divided dividend division dollars equal number equal to 12 equation whose roots Exercises exponent expression Extracting the square factors Find the L. C. M. Find the square following rule Formula Geography given number greatest common divisor Hence we write inequality John last term least common multiple lemons Let x denote logarithm miles minuend minus monomial multiplied negative nth root number added number of apples number of oranges number of terms paid perfect square polynomial progression proportion quotient ratio reduced remainder result second degree second member second term square root Substituting this value subtract Transposing trinomial twice unknown quantity VERIFICATION
Δημοφιλή αποσπάσματα
Σελίδα 266 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Σελίδα 60 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 60 - 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.
Σελίδα 124 - Two numbers have the following properties : if the first be multiplied by 6, the product will be equal to the second multiplied by 5...
Σελίδα 263 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 159 - The square root of a number is one of its two equal factors. Thus, 6 x 6 = 36 : therefore 6 is the square root of 36. The symbol for the square root is V or the fractional exponent £. Thus, -\/a, or a , indicates the square root of a, or that one of the two equal factors of a is to be found.
Σελίδα 237 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans.
Σελίδα 107 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?
Σελίδα 59 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Σελίδα 266 - AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.