Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns arou each zero. f(x) = x° + - 16x - 144 Determine the zero(s), if they exist. The zero(s) is/are. (Type integers or decimals. Use a comma to separate answers as needed.) Determine the multiplicities of the zero(s), if they exist. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. There are two zeros. The multiplicity of the smallest zero is (Simplify your answers.) The multiplicity of the largest zero is B. There is one zero. The multiplicity of the zero is (Simplify your answer.) O C. There are three zeros. The multiplicity of the smallest zero is . The multiplicity of the largest zero is The multiplicity of the other zero is (Simplify your answers.) Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. The graph crosses the x-axis at x = The graph touches the x-axis and turns around at x = (Type integers or decimals. Simplify your answers. Use a comma to separate answers as needed.) O B. The graph crosses the x-axis at all zeros. O C. The graph touches the x-axis and turns around at all zeros.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
icon
Related questions
icon
Concept explainers
Topic Video
Question
#16
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at
each zero.
f(x) = x³ + 9x?.
- 16x - 144
Determine the zero(s), if they exist.
The zero(s) is/are.
(Type integers or decimals. Use a comma to separate answers as needed.)
Determine the multiplicities of the zero(s), if they exist. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
O A. There are two zeros. The multiplicity of the smallest zero is
The multiplicity of the largest zero is
(Simplify your answers.)
B. There is one zero. The multiplicity of the zero is
(Simplify your answer.)
. The multiplicity of the largest zero is
The multiplicity of the other zero is
O C. There are three zeros. The multiplicity of the smallest zero is
(Simplify your answers.)
Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
O A. The graph crosses the x-axis at x =
The graph touches the x-axis and turns around at x =
(Type integers or decimals. Simplify your answers. Use a comma to separate answers as needed.)
O B. The graph crosses the x-axis at all zeros.
O C. The graph touches the x-axis and turns around at all zeros.
Transcribed Image Text:Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero. f(x) = x³ + 9x?. - 16x - 144 Determine the zero(s), if they exist. The zero(s) is/are. (Type integers or decimals. Use a comma to separate answers as needed.) Determine the multiplicities of the zero(s), if they exist. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. There are two zeros. The multiplicity of the smallest zero is The multiplicity of the largest zero is (Simplify your answers.) B. There is one zero. The multiplicity of the zero is (Simplify your answer.) . The multiplicity of the largest zero is The multiplicity of the other zero is O C. There are three zeros. The multiplicity of the smallest zero is (Simplify your answers.) Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. The graph crosses the x-axis at x = The graph touches the x-axis and turns around at x = (Type integers or decimals. Simplify your answers. Use a comma to separate answers as needed.) O B. The graph crosses the x-axis at all zeros. O C. The graph touches the x-axis and turns around at all zeros.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning