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# oddans43 - Odd-Numbered Answers to Exercise Set 4.3 Roots...

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Odd-Numbered Answers to Exercise Set 4.3: Roots of Polynomials 1. (a) Zeros: 7 = x (multiplicity 2) (b) 2 ) 7 ( ) ( = x x P 3. (a) Zeros: 3 = x (multiplicity 1) 3 = x (multiplicity 1) (b) ) 3 )( 3 ( ) ( + = x x x P 5. (a) Zeros: i x 4 = (multiplicity 1) i x 4 = (multiplicity 1) (b) ) 4 )( 4 ( ) ( i x i x x P + = 7. (a) Zeros: 2 5 = x (multiplicity 1) 2 5 = x (multiplicity 1) (b) ) 5 2 )( 5 2 ( ) ( + = x x x P 9. (a) Zeros: i x 6 7 = (multiplicity 1) i x 6 7 = (multiplicity 1) (b) ) 7 6 )( 7 6 ( ) ( i x i x x P + = 11. (a) Zeros: 0 = x (multiplicity 4) i x 5 = (multiplicity 1) i x 5 = (multiplicity 1) (b) ( ) ( ) i x i x x x P 5 5 ) ( 4 + = 13. (a) Zeros: i x 5 1 = (multiplicity 1) i x 5 1 + = (multiplicity 1) (b) ( ) ( ) ( ) ( ) i x i x x P 5 1 5 1 ) ( + = , s o ( ) ( ) i x i x x P 5 1 5 1 ) ( + = 15. (a) Zeros: i x 3 4 = (multiplicity 1) i x 3 4 + = (multiplicity 1) (b) () ( ) i x i x x P 3 4 3 4 ) ( + = , s o i x i x x P 3 4 3 4 ) ( + + + = 17. (a) Zeros: i x 3 = (multiplicity 1) i x 3 = (multiplicity 1) 3 = x (multiplicity 1) 3 = x (multiplicity 1) (b) ( ) ( ) 3 3 ) 3 )( 3 ( ) ( + + = x x i x i x x P 19. (a) Zeros: i x 2 = (multiplicity 1) i x 2 = (multiplicity 1) 2 = x (multiplicity 1) 2 = x (multiplicity 1) (b) ) 2 )( 2 )( 2 )( 2 ( ) ( + + = x x i x i x x P 21. (a) Zeros: i x 4
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