Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -x³(x + +3)²(x-8) O x = 0, crosses the x-axis; x = 3, touches the x-axis and turns around; x = -8, crosses the x-axis O x = 0, crosses the x-axis; x = -3, touches the x-axis and turns around; x = 8, crosses the x-axis O x = 0, touches the x-axis and turns around; x = 3, crosses the x-axis; x = 8, crosses the x-axis Ox=0, touches the x-axis and turns around; x = -3, touches the x-axis and turns around; x = 8, crosses 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
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Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each
intercept.
f(x) = -x³(x+3)²(x-8)
O x = 0, crosses the x-axis;
x = 3, touches the x-axis and turns around;
x = -8, crosses the x-axis
O x = 0, crosses the x-axis;
x = -3, touches the x-axis and turns around;
x = 8, crosses the x-axis
O x = 0, touches the x-axis and turns around;
x = 3, crosses the x-axis;
x = 8, crosses the x-axis
Ox=0, touches the x-axis and turns around;
x = -3, touches the x-axis and turns around;
x = 8, crosses the x-axis
Transcribed Image Text:Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -x³(x+3)²(x-8) O x = 0, crosses the x-axis; x = 3, touches the x-axis and turns around; x = -8, crosses the x-axis O x = 0, crosses the x-axis; x = -3, touches the x-axis and turns around; x = 8, crosses the x-axis O x = 0, touches the x-axis and turns around; x = 3, crosses the x-axis; x = 8, crosses the x-axis Ox=0, touches the x-axis and turns around; x = -3, touches the x-axis and turns around; x = 8, crosses the x-axis
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