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Determine whether the statement is true or false. If P(x) = (x-4)²(x+3)7, then the graph of the polynomial function y = P(x) crosses the x-axis at (4,0). Choose the correct answer below. ○ A. О в. ○ C. ○ D. The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph is tangent to the x-axis at (4,0). 2 The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph crosses the x-axis at (0,4). The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph is tangent to the x-axis at (0,4). The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph crosses the x-axis at (4,0).

Determine whether the statement is true or false. If P(x) = (x-4)²(x+3)7, then the graph of the polynomial function y = P(x) crosses the x-axis at (4,0). Choose the correct answer below. ○ A. О в. ○ C. ○ D. The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph is tangent to the x-axis at (4,0). 2 The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph crosses the x-axis at (0,4). The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph is tangent to the x-axis at (0,4). The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph crosses the x-axis at (4,0).

College Algebra (MindTap Course List)
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 80E
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Determine whether the statement is true or false. If P(x) = (x-4)²(x+3)7, then the graph of the polynomial function y = P(x) crosses the x-axis at (4,0). Choose the correct answer below. ○ A. О в. ○ C. ○ D. The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph is tangent to the x-axis at (4,0). 2 The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph crosses the x-axis at (0,4). The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph is tangent to the x-axis at (0,4). The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph crosses the x-axis at (4,0).
Transcribed Image Text:Determine whether the statement is true or false. If P(x) = (x-4)²(x+3)7, then the graph of the polynomial function y = P(x) crosses the x-axis at (4,0). Choose the correct answer below. ○ A. О в. ○ C. ○ D. The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph is tangent to the x-axis at (4,0). 2 The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is even. Thus, the graph crosses the x-axis at (0,4). The statement is false because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph is tangent to the x-axis at (0,4). The statement is true because (x-4)² is a factor of the given polynomial function P(x), and the exponent, 2 is odd. Thus, the graph crosses the x-axis at (4,0).
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