
Understanding Roots and Multiplicity

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to a graph at a single root?
It pauses and then stops.
It cuts straight through the axis.
It forms a loop.
It touches the axis and turns around.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are roots and zeros related in algebraic terms?
Both are purely visual.
Roots are visual, zeros are algebraic.
Zeros are visual, roots are algebraic.
Both are purely algebraic.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the factor (z - alpha)^n represent?
A single root.
A complex number.
A root of multiplicity n.
A polynomial with no roots.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the impact of differentiation on the multiplicity of a root?
It decreases the multiplicity by one.
It increases the multiplicity by one.
It has no effect on multiplicity.
It doubles the multiplicity.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a polynomial has a root of multiplicity 3, what is the multiplicity of the root after one differentiation?
0
2
3
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a root of multiplicity 2 indicate about the graph?
It has a stationary point.
It has a point of inflection.
It crosses the axis twice.
It forms a loop.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a triple root in terms of graph behavior?
It indicates only a point of inflection.
It indicates no special behavior.
It indicates only a stationary point.
It indicates a stationary point and a point of inflection.
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