Find the zeros for each 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 (z) = z +7x2 - 4x-28 %3D O x-2: has multiplicity 1, and it touches the x-axis. x-2: has multiplicity 1, and it touches the x-axis. x-7: has multiplicity 1, and it touches the x-axis. O x-2: has multiplicity 3, and it crosses the x-axis. x-2: has multiplicity 3, and it crosses the x-axis. x-7: has multiplicity 3, and it crosses the x-axis. O x-2: has multiplicity 1, and it crosses the x-axis. x--2: has multiplicity 1, and it crosses the x-axis. x-7: has multiplicity 1, and it crosses the x-axis. O x-2: has multiplicity 1, and it crosses the x-axis. x--2: has multiplicity 2, and it touches the x-axis. x--7: has multiplicity 2, and it touches the x-axis.

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
Section4.2: Polynomial Functions
Problem 39E
icon
Related questions
Question
100%
Find the zeros for each 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 (z) = a + 7z - 4x - 28
%3D
O x=2: has multiplicity 1, and it touches the x-axis.
x-2: has multiplicity 1, and it touches the x-axis.
x-7: has multiplicity 1, and it touches the x-axis.
O x-2: has multiplicity 3, and it crosses the x-axis.
x-2: has multiplicity 3, and it crosses the x-axis.
x=-7: has multiplicity 3, and it crosses the x-axis.
x-2: has multiplicity 1, and it crosses the x-axis.
x--2: has multiplicity 1, and it crosses the x-axis.
X--7: has multiplicity 1, and it crosses the x-axis.
O x-2: has multiplicity 1, and it crosses the x-axis.
x--2: has multiplicity 2, and it touches the x-axis.
X-7: has multiplicity 2, and it touches the x-axis.
Transcribed Image Text:Find the zeros for each 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 (z) = a + 7z - 4x - 28 %3D O x=2: has multiplicity 1, and it touches the x-axis. x-2: has multiplicity 1, and it touches the x-axis. x-7: has multiplicity 1, and it touches the x-axis. O x-2: has multiplicity 3, and it crosses the x-axis. x-2: has multiplicity 3, and it crosses the x-axis. x=-7: has multiplicity 3, and it crosses the x-axis. x-2: has multiplicity 1, and it crosses the x-axis. x--2: has multiplicity 1, and it crosses the x-axis. X--7: has multiplicity 1, and it crosses the x-axis. O x-2: has multiplicity 1, and it crosses the x-axis. x--2: has multiplicity 2, and it touches the x-axis. X-7: has multiplicity 2, and it touches the x-axis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Polynomial
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry 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
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax