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The Binomial Theorem
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The binomial theorem, sigma notation
and binomial expansion
algorithm |
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The
binomial theorem and binomial expansion algorithm examples |
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The binomial theorem, sigma notation
and binomial expansion
algorithm |
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theorem that shows the form of the expansion of any positive integral
power of a binomial (a
+ b)n
to a polynomial with n
+ 1 terms, |
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The
binomial theorem and binomial expansion algorithm examples
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| Example: Find
the 4th term of the binomial
expansion (a - x)5. |
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| Or,
we can use the formula to find (k
+ 1)th
term. |
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| Since, n =
5
and k
+ 1 = 4 =>
k
=
3
then by plugging these values into |
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| Example: Find
the middle
term of the binomial
expansion |
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| Example: Find
the 7th term of the binomial
expansion |
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if the coefficient of the third
term |
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to the coefficient of the second term as 9 : 2. |
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| Example:
Which term of the binomial
expansion |
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is missing x? |
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| To
fulfill the required condition, the exponent of x
must be zero, therefore |
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