Sketching the graph of a polynomial using the zeros and multiplicity

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Mathematics, Business
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a polynomial equation?
Divide by the highest coefficient
Multiply all terms
Add a constant to both sides
Set the equation to zero
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is factored form important when solving polynomial equations?
It makes the equation linear
It simplifies the equation
It allows the use of the zero product property
It eliminates variables
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do the X-intercepts of a polynomial graph represent?
The points of inflection
The solutions to the equation
The minimum points
The maximum points
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the multiplicity of an X-intercept affect the graph?
It affects the symmetry of the graph
It determines if the graph crosses or bounces at the intercept
It changes the slope of the graph
It alters the end behavior
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the leading term in standard form tell us about a polynomial graph?
The end behavior of the graph
The number of X-intercepts
The maximum value of the graph
The symmetry of the graph
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a polynomial has an odd degree, what can be said about its end behavior?
It falls on both ends
It rises left and falls right
It rises on both ends
It falls left and rises right
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in sketching a polynomial graph?
Calculate the derivative
Connect the intercepts considering the end behavior
Find the area under the curve
Label all intercepts
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