Determine whether the statement is true or false. If P(x) = (x − 8) (x + 1)³, then the graph of the polynomial function y = P(x) crosses the x-axis at (8,0). Choose the correct answer below. ОА. ○ B. ○ C. O D. 6 The statement is true because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6 is even. Thus, the graph crosses the x-axis at (0,8). The statement is false because (x - 8) is a factor of the given polynomial function P(x), and the exponent, 6 is odd. Thus, the graph is tangent to the x-axis at (0,8). 6 The statement is false because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6 is even. Thus, the graph is tangent to the x-axis at (8,0). The statement is true because (x-8) is a factor of the given polynomial function P(x), and the exponent, 6 is odd. Thus, the graph crosses the x-axis at (8,0).
Determine whether the statement is true or false. If P(x) = (x − 8) (x + 1)³, then the graph of the polynomial function y = P(x) crosses the x-axis at (8,0). Choose the correct answer below. ОА. ○ B. ○ C. O D. 6 The statement is true because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6 is even. Thus, the graph crosses the x-axis at (0,8). The statement is false because (x - 8) is a factor of the given polynomial function P(x), and the exponent, 6 is odd. Thus, the graph is tangent to the x-axis at (0,8). 6 The statement is false because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6 is even. Thus, the graph is tangent to the x-axis at (8,0). The statement is true because (x-8) is a factor of the given polynomial function P(x), and the exponent, 6 is odd. Thus, the graph crosses the x-axis at (8,0).
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![Determine whether the statement is true or false.
If P(x) = (x − 8) (x + 1)³, then the graph of the polynomial function y = P(x) crosses the x-axis at (8,0).
Choose the correct answer below.
ОА.
○ B.
○ C.
O D.
6
The statement is true because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6
is even. Thus, the graph crosses the x-axis at (0,8).
The statement is false because (x - 8) is a factor of the given polynomial function P(x), and the exponent, 6
is odd. Thus, the graph is tangent to the x-axis at (0,8).
6
The statement is false because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6
is even. Thus, the graph is tangent to the x-axis at (8,0).
The statement is true because (x-8) is a factor of the given polynomial function P(x), and the exponent, 6
is odd. Thus, the graph crosses the x-axis at (8,0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcb378bb-0e63-4b2a-a688-b0f341b17b50%2F7bbef77c-6e70-4be3-9b38-958c551e3625%2F6gozhkq_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the statement is true or false.
If P(x) = (x − 8) (x + 1)³, then the graph of the polynomial function y = P(x) crosses the x-axis at (8,0).
Choose the correct answer below.
ОА.
○ B.
○ C.
O D.
6
The statement is true because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6
is even. Thus, the graph crosses the x-axis at (0,8).
The statement is false because (x - 8) is a factor of the given polynomial function P(x), and the exponent, 6
is odd. Thus, the graph is tangent to the x-axis at (0,8).
6
The statement is false because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6
is even. Thus, the graph is tangent to the x-axis at (8,0).
The statement is true because (x-8) is a factor of the given polynomial function P(x), and the exponent, 6
is odd. Thus, the graph crosses the x-axis at (8,0).
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