Find the zeros for the given 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.1(x) = x° - 16x² +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.A. There are two zeros. The multiplicity of the smallest zero isThe multiplicity of the largest zero is(Simplify your answers.)The multiplicity of the largest zero isThe multiplicity of the other zero isO B. There are three zeros. The multiplicity of the smallest zero is(Simplify your answers.)O C. There is one zero. The multiplicity of the zero is(Simplify your answer.)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 all zeros.O B. 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 C. The graph touches the x-axis and turns around at all zeros.Click to select your answer(s).Save for LaterEndPrtScnF8HomeF9DIIF10F6F7F2F3F4F5F1232$&567812

Given function fx=x3-16x2+64x. (a) Obtain the zeros. fx=0x3-16x2+64x=0xx2-16x+64=0xx-82=0x=0,8,8

Find the zeros for the given 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) = x - 16x + 64x

Find the zeros for the given 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) = x - 16x + 64x

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

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Find the zeros for the given 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.
1(x) = x° - 16x² +
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.
A. There are two zeros. The multiplicity of the smallest zero is
The multiplicity of the largest zero is
(Simplify your answers.)
The multiplicity of the largest zero is
The multiplicity of the other zero is
O B. There are three zeros. The multiplicity of the smallest zero is
(Simplify your answers.)
O C. There is one zero. The multiplicity of the zero is
(Simplify your answer.)
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 all zeros.
O B. 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 C. The graph touches the x-axis and turns around at all zeros.
Click to select your answer(s).
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