Stitz-Zeager_College_Algebra_e-book

Students often wonder when complex numbers will be

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Unformatted text preview: 5. With the help of your classmates, create a list of five polynomials with different degrees whose real zeros cannot be found using any of the techniques in this section. 7 This inequality was solved using a graphing calculator in Example 2.4.5. Compare your answer now to what was given at the time. 218 3.3.4 Polynomial Functions Answers 1. (a) p(x) = x3 − 2x2 − 5x + 6 x = −2 (mult. 1), x = 1 (mult. 1), x = 3 (mult. 1) (b) p(x) = −2x3 + 19x2 − 49x + 20 1 x = 2 (mult. 1), x = 4 (mult. 1), x = 5 (mult. 1) (c) p(x) = x4 − 9x2 − 4x + 12 x = −2 (mult. 2), x = 1 (mult. 1), x = 3 (mult. 1) (d) p(x) = x3 + 4x2 − 11x + 6 x = −6 (mult. 1), x = 1 (mult. 2) (e) p(x) = 3x3 + 3x2 − 11x −√ 10 3± 69 x = −2 (mult. 1), x = 6 (each has mult. 1) (f) p(x) = x4 + 2x3 − 12x2 − 40x − 32 x = −2 (mult. 3), x = 4 (mult. 1) (g) p(x) = 6x4 − 5x3 − 9x2 √ x = 0 (mult. 2), x = 5±12241 (each has mult. 1) (h) p(x) = 36x4 − 12x3 − 11x2 + 2x + 1 1 x = 2 (mult. 2), x = − 1 (mult. 2) 3 (i) p(x) = −17x3 + 5x2 +...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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