For each of the polynomials below, state the degree and the number of nonzero terms, and select the options that describe the long-run behavior. a) p(z) = (x+ 5)(z – 3)(3z +1) Degree: Number of nonzero terms: Long-run behavior: DA. As z goes to positive oo, p(z) goes to negative oo. OB. As z goes to negative oo, p(z) goes to positive oo. OC. As z goes to negative oo, p(z) goes to negative oo. OD. As I goes to positive oo, p(r) goes to positive oo.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 59PPS
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For each of the polynomials below, state the degree and the number of nonzero terms, and select the options that describe the long-run behavior.
a) p(z) = (x+ 5)(z – 3)(3x + 1)
Degree:
Number of nonzero terms:
Long-run behavior:
DA. As z goes to positive oo, p(z) goes to negative oo.
B. As I goes to negative oo, p(z) goes to positive oo.
C. As I goes to negative oo, p(z) goes to negative oo.
OD. As I goes to positive oo, p(r) goes to positive oo.
b) q(z) = 3.6z + 13z – 3z*
Degree:
Number of nonzero terms:
Long-run behavior:
A. As z goes to negative oo, q(z) goes to positive oo.
B. As I goes to negative oo, q(x) goes to negative oo.
IC. As I goes to positive oo, q(z) goes to positive o.
OD. As I goes to positive oo, q(z) goes to negative oo.
c) v(z) = r? – 7x² + 3xª +1
Degree:
Number of nonzero terms:
Long-run behavior:
DA. As z goes to positive oo, v(z) goes to negative oo.
B. As z goes to positive oo, v(z) goes to positive oo.
OC. As I goes to negative oo, v(z) goes to positive .
OD. As I goes to negative oo, v(z) goes to negative oo.
d) w(x) = -5z7
Degree:
Number of nonzero terms:
Long-run behavior:
DA. As I goes to negative oo, w(z) goes to positive oo.
B. As z goes to positive oo, w(z) goes to positive oo.
C. As I goes to positive oo, w(z) goes to negative oo.
D. As I goes to negative oo, w(z) goes to negative oo.
Transcribed Image Text:For each of the polynomials below, state the degree and the number of nonzero terms, and select the options that describe the long-run behavior. a) p(z) = (x+ 5)(z – 3)(3x + 1) Degree: Number of nonzero terms: Long-run behavior: DA. As z goes to positive oo, p(z) goes to negative oo. B. As I goes to negative oo, p(z) goes to positive oo. C. As I goes to negative oo, p(z) goes to negative oo. OD. As I goes to positive oo, p(r) goes to positive oo. b) q(z) = 3.6z + 13z – 3z* Degree: Number of nonzero terms: Long-run behavior: A. As z goes to negative oo, q(z) goes to positive oo. B. As I goes to negative oo, q(x) goes to negative oo. IC. As I goes to positive oo, q(z) goes to positive o. OD. As I goes to positive oo, q(z) goes to negative oo. c) v(z) = r? – 7x² + 3xª +1 Degree: Number of nonzero terms: Long-run behavior: DA. As z goes to positive oo, v(z) goes to negative oo. B. As z goes to positive oo, v(z) goes to positive oo. OC. As I goes to negative oo, v(z) goes to positive . OD. As I goes to negative oo, v(z) goes to negative oo. d) w(x) = -5z7 Degree: Number of nonzero terms: Long-run behavior: DA. As I goes to negative oo, w(z) goes to positive oo. B. As z goes to positive oo, w(z) goes to positive oo. C. As I goes to positive oo, w(z) goes to negative oo. D. As I goes to negative oo, w(z) goes to negative oo.
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