Stitz-Zeager_College_Algebra_e-book

# In short youll need most of the major concepts of

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Unformatted text preview: ld tell you which is which.) We see the graph of f is below the graph 1 of g on −∞, − 2 . However, it is diﬃcult to see what is happening near x = 1. Zooming in (and making the graph of g thicker), we see that the graphs of f and g do intersect at x = 1, but the graph of g remains below the graph of f on either side of x = 1. 3.3 Real Zeros of Polynomials 3.3.3 217 Exercises 1. Find the real zeros of the polynomial using the techniques speciﬁed by your instructor. State the multiplicity of each real zero. (a) p(x) = x3 − 2x2 − 5x + 6 (e) p(x) = 3x3 + 3x2 − 11x − 10 (b) p(x) = −2x3 + 19x2 − 49x + 20 (f) p(x) = x4 + 2x3 − 12x2 − 40x − 32 (c) p(x) = x4 − 9x2 − 4x + 12 (g) p(x) = 6x4 − 5x3 − 9x2 (d) p(x) = x3 + 4x2 − 11x + 6 (h) p(x) = 36x4 − 12x3 − 11x2 + 2x + 1 (i) p(x) = −17x3 + 5x2 + 34x − 10 (j) p(x) = 25x5 − 105x4 + 174x3 − 142x2 + 57x − 9 (k) p(x) = x5 − 60x3 − 80x2 + 960x + 2304 (l) p(x) = x3 − 7x2 + x − 7 (m) p(x) = 90x4 − 399x3 + 622...
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