Find the coefficient of the given term in the binomial expansion.
-$x ^ { 4 }$ term, $( x - 3 ) ^ { 15 }$
A) $- 241,805,655$
B) $- 4095$
C) 1365
D) $241,805,655$

Question

Quizplus · Accepted Answer

The coefficient of the $x^4$ term in the expansion of $(x - 3)^{15}$ can be found using the binomial theorem, specifically the term is given by $\binom{n}{k}a^{n-k}b^k$ where $n=15$, $k=4$, $a=x$, and $b=-3$. Thus, the coefficient is $\binom{15}{4}(-3)^{11}$, which simplifies to $-241,805,655$.

Find the Coefficient of the Given Term in the Binomial x4x ^ { 4 }x4

Find the Coefficient of the Given Term in the Binomial $x ^ { 4 }$