Alg_Complete

# Here is the operation x 2 x 1 5 x 3 9 x 2 x 3 this

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Unformatted text preview: hat we are performing. To add two polynomials all that we do is combine like terms. This means that for each term with the same exponent we will add or subtract the coefficient of that term. In this case this is, (6x 5 - 10 x 2 + x - 45 ) + (13 x 2 - 9 x + 4 ) = 6 x5 + ( -10 + 13) x 2 + (1 - 9 ) x - 45 + 4 = 6 x5 + 3x 2 - 8 x - 41 [Return to Problems] (b) Subtract 5 x3 - 9 x 2 + x - 3 from x 2 + x + 1 . Again, let’s write down the operation we are doing here. We will also need to be very careful with the order that we write things down in. Here is the operation x 2 + x + 1 - ( 5 x 3 - 9 x 2 + x - 3) This time the parentheses around the second term are absolutely required. We are subtracting the whole polynomial and the parenthesis must be there to make sure we are in fact subtracting the whole polynomial. In doing the subtraction the first thing that we’ll do is distribute the minus sign through the parenthesis. This means that we will change the sign on every term in the second polynomial. Note that all we are really doing here is mu...
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## This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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