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Questions and Answers
What does the first term in the expansion of $(x+y)^n$ represent?
What does the first term in the expansion of $(x+y)^n$ represent?
- The sum of $x$ and $y$
- The value of $n$ chosen from natural numbers (correct)
- The degree of the polynomial
- The coefficient of the second term
What does the general term in the expansion $(x+y)^n$ include?
What does the general term in the expansion $(x+y)^n$ include?
- A polynomial of degree $n-1$
- Only the constant terms
- A combination of binomial coefficients and powers of $x$ and $y$ (correct)
- The sum of coefficients and variables
What is the value of the first term in the binomial expansion of $(x+y)^n$?
What is the value of the first term in the binomial expansion of $(x+y)^n$?
- $n!$
- $nC_0x^n$ (correct)
- $x^n$
- 1
Which binomial coefficient is used in the expression $^{10}C_5$?
Which binomial coefficient is used in the expression $^{10}C_5$?
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What is the significance of the expression $(4x - 5)^9$ in relation to the binomial theorem?
What is the significance of the expression $(4x - 5)^9$ in relation to the binomial theorem?
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