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Stitz-Zeager_College_Algebra_e-book

# 14 determine the horizontal asymptotes if any of the

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Unformatted text preview: g. √ (a) −49 √√ (b) −9 −16 (e) (c) (d) √ (−9)(−16) √ 49 −4 4. Find the complex solutions of the following quadratic equations. (a) x2 − 4x + 13 = 0 (b) 3x2 + 2x + 10 = 0 5. For each polynomial given below ﬁnd all of its zeros, completely factor it over the real numbers and completely factor it over the complex numbers. (a) x2 − 2x + 5 (i) 4x3 − 6x2 − 8x + 15 (b) x3 − 2x2 + 9x − 18 (j) x4 + x3 + 7x2 + 9x − 18 (c) x3 + 6x2 + 6x + 5 (k) 6x4 + 17x3 − 55x2 + 16x + 12 (d) 3x3 − 13x2 + 43x − 13 (l) x5 − x4 + 7x3 − 7x2 + 12x − 12 (e) x4 + 9x2 + 20 (m) x3 + 7x2 + 9x − 2 (f) 4x4 − 4x3 + 13x2 − 12x + 3 (n) −3x4 − 8x3 − 12x2 − 12x − 5 (g) x3 + 3x2 + 4x + 12 (o) 8x4 + 50x3 + 43x2 + 2x − 4 (h) 2x4 − 7x3 + 14x2 − 15x + 6 (p) 9x3 + 2x + 1 (q) x4 − 2x3 + 27x2 − 2x + 26 (Hint: x = i is one of the zeros.) (r) 2x4 + 5x3 + 13x2 + 7x + 5 (Hint: x = −1 + 2i is a zero.) 6. Let z and w be arbitrary complex numbers. Show that z w = zw and z = z . 7. With the help of you...
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