 | William Suddards Franklin, Barry MacNutt, Rollin Landis Charles - Calculus - 1913 - 318 pages
...log (*-1) + 41 log (* - 2) + C. Note. — Whenever the degree of the numerator of a rational fraction is greater than or equal to the degree of the denominator, the fraction should be reduced to a mixed quantity. log (*+1) + C. - log (a? + 1) + C. 3 Note. -- is broken into... | |
 | William Le Roy Hart - Algebra - 1926 - 412 pages
...omitted because such proof is beyond the scope of this text. NOTE. — An improper fraction is one where the degree of the numerator is greater than or equal to the degree of the denominator. To simplify an improper fraction, one would first reduce it to a sum of a polynomial and a proper fraction.... | |
 | Max Fogiel, Research and Education Association - Mathematics - 1984 - 1112 pages
...into five partial fractions. • If the original fraction is such that the degree of the polynomial in the numerator is greater than (or equal to) the degree of the denominator, one should first divide. This division produces a polynomial added to a fraction of polynomials. In... | |
 | Jan Gullberg - Mathematics - 1997 - 1148 pages
...+ 1 r x2 + x + i J 2 x4 + x3 + 2 x2 + x = ln|x|-i[31n|2x+l|- arctan x + In (x2 + 1)] + C . • o If the degree of the numerator is greater than or equal to the degree of the denominator, then the denominator must be divided into the numerator until the degree of the remainder is less than... | |
 | Robert Smedley, Garry Wiseman - Juvenile Nonfiction - 2001 - 568 pages
...Type IV: Improper fractions On page 276, we saw that an improper algebraic fraction is one in which the degree of the numerator is greater than or equal to the degree of the denominator. To simplify an improper algebraic fraction, we divide the numerator (a polynomial) by the denominator... | |
 | Mathematics - 2003 - 468 pages
...we divide F(z) by z, as in examples l8.8 - l8.l0: F(z) _ z4 + z3 - 2z + l c ' z(z2 + 2z + 2) ' Since the degree of the numerator is greater than or equal to the degree of the denominator, we use a division to write the numerator in the form z4 + z3 - 2z + l = (z - l)(z3 + 2z2 + 2z) + l... | |
 | Deepak Bhardwaj - Calculus, Integral - 2006 - 984 pages
...Any rational algebraic function is said to be an improper rational algebraic fraction if degree of numerator is greater than or equal to the degree of the denominator. ie, if deg. fix) > deg. g(x), then - is called an improper rational fraction. g(x) f(x) If — —... | |
 | 890 pages
...x + i + —4г + — + 1 = v " ^ 3U-1) ' дс-2 • Note : To reduce an improper fraction (ie, when degree of the numerator is greater than or equal to the degree of the denominator) into partial fractions the numerator is first divided by denominator and thus is convered into a proper... | |
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An improper fraction is one in which the degree of the numerator is greater than or equal to the degree of the denominator. 