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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° – 18x2 + 81x 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 is one zero. The multiplicity of the zero is (Simplify your answer.) The multiplicity of the other zero is O B. There are three zeros. The multiplicity of the smallest zero is (Simplify your answers.) The multiplicity of the largest zero is The multiplicity of the largest zero is O C. There are two zeross. 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. zeros O A. The graph touches the x-axis and turns around at O B. The graph crosses the x-axis at all zeros.

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° – 18x2 + 81x 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 is one zero. The multiplicity of the zero is (Simplify your answer.) The multiplicity of the other zero is O B. There are three zeros. The multiplicity of the smallest zero is (Simplify your answers.) The multiplicity of the largest zero is The multiplicity of the largest zero is O C. There are two zeross. 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. zeros O A. The graph touches the x-axis and turns around at O B. The graph crosses the x-axis at all zeros.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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° – 18x2 + 81x 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 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 B. There are three zeros. The multiplicity of the smallest zero is (Simplify your answers.) The multiplicity of the largest zero is O C. There are two 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 touches the x-axis and turns around at all zeros. O B. The graph crosses the x-axis at all zeros. at Y = The graph touches the x-axis and turns around at x =
Transcribed Image Text: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° – 18x2 + 81x 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 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 B. There are three zeros. The multiplicity of the smallest zero is (Simplify your answers.) The multiplicity of the largest zero is O C. There are two 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 touches the x-axis and turns around at all zeros. O B. The graph crosses the x-axis at all zeros. at Y = The graph touches the x-axis and turns around at x =
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