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) \( p(x) = (x+5)(x-3)(3x+1) \)- Degree: [Input Box]- Number of nonzero terms: [Input Box]Long-run behavior:- [ ] A. As \( x \) goes to positive \(\infty\), \( p(x) \) goes to negative \(\infty\).- [ ] B. As \( x \) goes to negative \(\infty\), \( p(x) \) goes to positive \(\infty\).- [ ] C. As \( x \) goes to positive \(\infty\), \( p(x) \) goes to positive \(\infty\).- [ ] D. As \( x \) goes to negative \(\infty\), \( p(x) \) goes to negative \(\infty\).b) \( q(x) = 3.6x^3 + 13x - 3x^6 \)- Degree: [Input Box]- Number of nonzero terms: [Input Box]Long-run behavior:- [ ] A. As \( x \) goes to negative \(\infty\), \( q(x) \) goes to positive \(\infty\).- [ ] B. As \( x \) goes to negative \(\infty\), \( q(x) \) goes to negative \(\infty\).- [ ] C. As \( x \) goes to positive \(\infty\), \( q(x) \) goes to positive \(\infty\).- [ ] D. As \( x \) goes to positive \(\infty\), \( q(x) \) goes to negative \(\infty\).c) \( v(x) = x^2 - 7x^2 + 3x^4 + 1 \)- Degree: [Input Box]- Number of nonzero terms: [Input Box]Long-run behavior:- [ ] A. As \( x \) goes to positive \(\infty\), \( v(x) \) goes to negative \(\infty\).- [ ] B. As \( x \) goes to negative \(\infty\), \( v(x

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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)(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.

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.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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) \( p(x) = (x+5)(x-3)(3x+1) \)

- Degree: [Input Box]
- Number of nonzero terms: [Input Box]

Long-run behavior:
- [ ] A. As \( x \) goes to positive \(\infty\), \( p(x) \) goes to negative \(\infty\).
- [ ] B. As \( x \) goes to negative \(\infty\), \( p(x) \) goes to positive \(\infty\).
- [ ] C. As \( x \) goes to positive \(\infty\), \( p(x) \) goes to positive \(\infty\).
- [ ] D. As \( x \) goes to negative \(\infty\), \( p(x) \) goes to negative \(\infty\).

b) \( q(x) = 3.6x^3 + 13x - 3x^6 \)

- Degree: [Input Box]
- Number of nonzero terms: [Input Box]

Long-run behavior:
- [ ] A. As \( x \) goes to negative \(\infty\), \( q(x) \) goes to positive \(\infty\).
- [ ] B. As \( x \) goes to negative \(\infty\), \( q(x) \) goes to negative \(\infty\).
- [ ] C. As \( x \) goes to positive \(\infty\), \( q(x) \) goes to positive \(\infty\).
- [ ] D. As \( x \) goes to positive \(\infty\), \( q(x) \) goes to negative \(\infty\).

c) \( v(x) = x^2 - 7x^2 + 3x^4 + 1 \)

- Degree: [Input Box]
- Number of nonzero terms: [Input Box]

Long-run behavior:
- [ ] A. As \( x \) goes to positive \(\infty\), \( v(x) \) goes to negative \(\infty\).
- [ ] B. As \( x \) goes to negative \(\infty\), \( v(x

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