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now we have to discuss the basic operations for complex numbers well begin with addition amp subtraction the simplest way to think of adding andor
the conjugate of the complex number a bi is the complex number a - bi in other terms it is the original complex number along the sign on the
it is totally possible that a or b could be zero and thus in 16i the real part is zero while the real part is zero we frequently will call the
following are some examples of complex numbers3
standard form of a complex numberso lets start out with some of the basic definitions amp terminology for complex numbers the standard form of a
perform the denoted operation 46x2-13x552x3solutionfor this problem there are
lets recall how do to do this with a rapid number
now come to addition and subtraction of rational expressions following are the general formulas ac bc a
reduce the following rational expression to lowest
x4 - 25there is no greatest common factor here though notice that it is the difference of two perfect squaresx4 - 25 x2 2 - 52thus we can
factoring polynomials with degree greater than 2there is no one method for doing these generally however there are some that we can do solets
factor following x2 - 20 x 100solutionin this case weve got three terms amp
special formsthere are a number of nice special forms of some polynomials which can make factoring easier for us on occasion following are the
factor following polynomials x2
primary note that quadratic is another term for second degree polynomial thus we know that the largest exponent into a quadratic polynomial will be
factor by grouping each of the following3x2 - 2x 12x - 8solution 3x2 - 2x 12x - 8in this case we collect the
factoring by groupingit is a method that isnt utilized all that frequently but while it can be used it can be somewhat useful factoring by grouping
factoring out the greatest common factor of following polynomials 8x4 - 4 x3
greatest common factorthe primary method for factoring polynomials will be factoring the greatest common factorwhile factoring in general it will
factoring polynomialsfactoring polynomials is done in pretty much the similar manner we determine all of the terms which were multiplied together
prime numbera prime number is a number whose only ve factors are 1 and itself for instance 2 3 5 and 7 are all of the examples of prime numbers
factoring polynomials is probably the most important topic we already learn factor of polynomial if you cant factor the polynomial then you wont be
multiply followinga 4x2-x6-3xb 2x62solution a 4x2 - x 6 - 3x again we will only foil this one out4x2 - x 6 - 3x 24x2 -12x3 - 6x 3x2 -12x3
perform the denoted operation for each of the following a add 6x5 -10x2 x - 45 to 13x2 - 9 x 4 b subtract 5x3 - 9 x2 x - 3
terminology of polynomialnext we need to get some terminology out of the waymonomial polynomiala monomial is a polynomial which consists of exactly