multiplicity review
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Easy
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of a root with even multiplicity?
A root with even multiplicity touches the x-axis but does not cross it.
A root with even multiplicity crosses the x-axis at that point.
A root with even multiplicity indicates a local maximum or minimum.
A root with even multiplicity has no effect on the graph.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which root has even multiplicity?
0
1
2
3
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean for a polynomial to have complex roots?
Complex roots are always real numbers.
Complex roots occur in conjugate pairs and are not real numbers.
Complex roots can only be found in quadratic equations.
Complex roots are the same as imaginary roots.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How many roots are shown in the picture?
1
2
3
4
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is another way to say 'where a function crosses the x-axis'?
x-intercept
y-intercept
slope
vertex
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of a root with odd multiplicity?
A root with odd multiplicity crosses the x-axis at that point.
A root with odd multiplicity does not affect the graph.
A root with odd multiplicity results in a local maximum.
A root with odd multiplicity is always a complex number.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you determine the multiplicity of a root from a polynomial equation?
By evaluating the polynomial at the root and checking the value.
By factoring the polynomial and counting the number of times each root appears.
By taking the derivative of the polynomial and finding its roots.
By using synthetic division to divide the polynomial by the root.
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