SOLUTION: If a term in the explansion of (x+b)^8 is (-1701x^3)/(4096), assuming b is a constant, then the exact value of b is?

SOLUTION: If a term in the explansion of (x+b)^8 is (-1701x^3)/(4096), assuming b is a constant, then the exact value of b is?

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Question 386772: If a term in the explansion of (x+b)^8 is (-1701x^3)/(4096), assuming b is a constant, then the exact value of b is?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The binomial theorem states that, the (r+1)st term in the expansion of is . Applied directly to the problem at hand, knowing that the power of x should be 3, the term involving should then be . Thus
, after equating coefficients. Then
, or
, or
.
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