SOLUTION: (a). Find the first 3 terms, in ascending powers of x of (2-x)^5.
(b). Hence find the value of the constant k for which the coefficient of x in the expansion of (k+x)(2-x)^5 is -8
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Question 1202865: (a). Find the first 3 terms, in ascending powers of x of (2-x)^5.
(b). Hence find the value of the constant k for which the coefficient of x in the expansion of (k+x)(2-x)^5 is -8
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!
Constant term:
Coefficient of x:
Coefficient of x^2:
In performing the multiplication , the coefficient of x in the product comes from "x" times the constant term in the expansion, plus "k" times the linear term in the expansion. The coefficient of x in the product is
Solve to find the value of k for which the linear coefficient in the product is -8:
ANSWER: k = 0.5
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