QUESTION 4 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) = (x-4)²(x²-25) O x = 4, touches the x-axis and turns around; x = -5, crosses the x-axis; x = 5, crosses the x-axis O x = 4, touches the x-axis and turns around; x = -5, touches the x-axis and turns around; x = 5, touches the x-axis and turns around O x = 4, touches the x-axis and turns around; x = 25, touches the x-axis and turns around Ox= -4, touches the x-axis and turns around; x = 25, 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 34E: Find the zeros of each polynomial function and state the multiplicity of each. State whether the...
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QUESTION 4
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) = (x-4)²(x²-25)
O x = 4, touches the x-axis and turns around;
x = -5, crosses the x-axis;
x = 5, crosses the x-axis
O x = 4, touches the x-axis and turns around;
x = -5, touches the x-axis and turns around;
x = 5, touches the x-axis and turns around
O x = 4, touches the x-axis and turns around;
x = 25, touches the x-axis and turns around
Ox= -4, touches the x-axis and turns around;
x = 25, crosses the x-axis
Transcribed Image Text:QUESTION 4 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) = (x-4)²(x²-25) O x = 4, touches the x-axis and turns around; x = -5, crosses the x-axis; x = 5, crosses the x-axis O x = 4, touches the x-axis and turns around; x = -5, touches the x-axis and turns around; x = 5, touches the x-axis and turns around O x = 4, touches the x-axis and turns around; x = 25, touches the x-axis and turns around Ox= -4, touches the x-axis and turns around; x = 25, crosses the x-axis
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