Binomial Theorem Quiz
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Binomial Theorem Quiz

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@OpulentQuasar

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Questions and Answers

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?

  • 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 $(x+y)^n$?

  • $n!$
  • $nC_0x^n$ (correct)
  • $x^n$
  • 1

    • Which binomial coefficient is used in the expression $^{10}C_5$?

    <p>$ rac{10!}{5!5!}$</p> Signup and view all the answers

    What is the significance of the expression $(4x - 5)^9$ in relation to the binomial theorem?

    <p>It illustrates a specific case of applying the binomial theorem</p> Signup and view all the answers

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