Mth510Asgt2Solutions_W05

Mth510Asgt2Solutions_W05 - Mathematics 510 Winter 2005...

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Unformatted text preview: Mathematics 510 Winter 2005 Problem Set 2 Solutions Due: Thursday March 10, in class. 1. Plot graphs of the following polynomials and factor them completely into products of linear and quadratic factors. Use only methods taught in class to find the roots. Your plots should clearly show the real roots of the polynomial. Note: an acceptible plot is one that gives a good indication where the roots are. (a) P ( x ) = x 3- 1 . x 2- 5 . 17 x + 5 . 566 = ( x + 2 . 3)( x- 1 . 1)( x- 2 . 2). (b) P ( x ) = x 3- 5 . 9 x 2 + 9 . 35 x- 4 . 477 = ( x- 1 . 1) 2 ( x- 3 . 7). (c) P ( x ) = x 4- 3 . 8 x 3- 3 . 04 x 2 + 15 . 158 x- 9 . 4017 = ( x + 2 . 1)( x- 1 . 1) 2 ( x- 3 . 7). (d) P ( x ) = x 4- 5 . 9 x 3 + 21 . 18 x 2- 45 . 76 x + 33 . 80 = ( x- 1 . 3)( x- 2 . 6)( x 2- 2 x + 10). (e) P ( x ) = x 5- 6 . 13 x 4 + 22 . 537 x 3- 50 . 6314 x 2 + 44 . 3248 x- 7 . 7740 = ( x- 2 . 3)( x- 1 . 3)( x- 2 . 6)( x 2- 2 x + 10)....
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This note was uploaded on 05/19/2010 for the course MATH MTH510 taught by Professor Kolasa during the Winter '05 term at Ryerson.

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Mth510Asgt2Solutions_W05 - Mathematics 510 Winter 2005...

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