**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 +...

View
Full
Document