Find the coefficient, C, of the term in the binomial expansion.
Binomial: (x + 5) ⁹ Term: Cx⁶

Name: Find the coefficient, C, of the term in the binomial expansion. Binomial: (x + 5) 9 Term: Cx 6 A) 125 B) 78,750 C) 900 D) 10,500
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Question

Find the coefficient, C, of the term in the binomial expansion. Binomial: (x + 5)⁹ Term: Cx⁶ A) 125 B) 78,750 C) 900 D) 10,500

Quizplus · Accepted Answer

The term in the binomial expansion is given by the formula: C(n, k) * a^(n-k) * b^k. Here, n=9, a=x, b=5, and we need the term with x^6, so k=3. The coefficient C is C(9, 3) * 5^3 = 84 * 125 = 10,500.

Find the Coefficient, C, of the Term in the Binomial