Binomial Expansion Proof
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal of the video regarding the binomial expansion?
To integrate x plus y
To differentiate x plus y
To find a generalized expression for x plus y to the power of n
To solve x plus y to the power of 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What assumption is made about the variable y in the binomial expansion?
y is a function
y is a constant
y is a variable
y is an integer
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical operation is used to find the coefficients in the expansion?
Addition
Differentiation
Integration
Multiplication
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the terms on the right-hand side when differentiating k times?
They are multiplied by k
They all become zero
They are divided by k
They remain unchanged
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying by n minus k factorial divided by n minus k factorial?
To complicate the expression
To eliminate the expression
To simplify the expression
To differentiate the expression
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the coefficient of x to the power of 0 in the expansion?
n factorial divided by n minus k factorial times y to the power of n minus k
k factorial times a subscript k
y to the power of n minus k
n factorial times x to the power of k
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the kth term in the expansion be expressed?
k factorial times y to the n minus k
y to the power of n minus k
n factorial divided by n minus k factorial times k factorial times y to the n minus k times x to the k
n factorial times x to the k
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