A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 87
... polynomial . A polynomial , consisting of two terms only , is usually called a binomial ; when consisting of three terms , a trinomial . Thus , a + b , 3 b2 c — x z , are binomials , and a + b · c , 3 m2 n3 — 6 p3 r +9 d , are ...
... polynomial . A polynomial , consisting of two terms only , is usually called a binomial ; when consisting of three terms , a trinomial . Thus , a + b , 3 b2 c — x z , are binomials , and a + b · c , 3 m2 n3 — 6 p3 r +9 d , are ...
Page 90
... polynomials , containing both similar and dissimilar quantities , are to be collected into one polynomial , the process of addition will be much facilitated by writing all the similar terms under each other in vertical columns ...
... polynomials , containing both similar and dissimilar quantities , are to be collected into one polynomial , the process of addition will be much facilitated by writing all the similar terms under each other in vertical columns ...
Page 94
... polynomial to be sub- tracted within brackets or parentheses , and prefix the sign Thus , 2a3 —3a2b + 4ab2— ( a3 + ... polynomials undergo several transformations , which are of great utility in various algebraic calculations . Thus , a3 ...
... polynomial to be sub- tracted within brackets or parentheses , and prefix the sign Thus , 2a3 —3a2b + 4ab2— ( a3 + ... polynomials undergo several transformations , which are of great utility in various algebraic calculations . Thus , a3 ...
Page 98
... polynomials may be omitted , and the operation performed by the coefficients alone ; for the same powers occupy the same vertical columns , when the polynomials are arranged according to the successive powers of the letters ; and these ...
... polynomials may be omitted , and the operation performed by the coefficients alone ; for the same powers occupy the same vertical columns , when the polynomials are arranged according to the successive powers of the letters ; and these ...
Page 99
... polynomial , and the divisor a monomial . ( 3 ) When both dividend and divisor are polynomials . CASE I. 16. When both dividend and divisor are monomials G 2 DIVISION . 99.
... polynomial , and the divisor a monomial . ( 3 ) When both dividend and divisor are polynomials . CASE I. 16. When both dividend and divisor are monomials G 2 DIVISION . 99.
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algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards