
Understanding Repeated Zeros in Polynomial Functions

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Nancy Jackson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum number of distinct complex zeros a polynomial of degree n can have?
n-1
2n
n
n+1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When graphing the function x - 3 * (x + 2)^2, what happens at x = 3?
The graph crosses the x-axis
The graph touches the x-axis
The graph is undefined
The graph has a vertical asymptote
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function x - 3^2 * (x + 2)^3, what is the behavior of the graph at x = -2?
The graph has a hole
The graph crosses the x-axis
The graph is undefined
The graph touches the x-axis
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What determines whether a graph crosses or touches the x-axis at a zero?
The multiplicity of the zero
The degree of the polynomial
The leading coefficient
The constant term
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a zero has an odd multiplicity, what is the behavior of the graph at that zero?
The graph has a vertical asymptote
The graph is undefined
The graph crosses the x-axis
The graph touches the x-axis
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a zero with even multiplicity, what does the graph do at that point?
The graph has a vertical asymptote
The graph crosses the x-axis
The graph is undefined
The graph touches the x-axis
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function f(x) = (x - 7)^4 * (x + 1)^6 * (x - 8)^7, what is the behavior of the graph at x = 7?
The graph has a vertical asymptote
The graph touches the x-axis
The graph crosses the x-axis
The graph is undefined
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