Find the indicated coefficient or term.
-The coefficient of x in the expansion of $$( 3 x + 4 ) ^ { 5 }$$
A) 960
B) 3,840
C) 5,120
D) 2,880

Question

Quizplus · Accepted Answer

The coefficient of x in the expansion of (3x + 4)^5 is 3,840. This can be found using the binomial theorem, which states that the coefficient of the term x^k in the expansion of (a + b)^n is given by the formula (n choose k) * a^(n-k) * b^k. In this case, n = 5, k = 1, a = 3x, and b = 4. So, the coefficient of x is (5 choose 1) * (3x)^(5-1) * 4^1 = 5 * 3^4 * 4 = 3,840.

Find the Indicated Coefficient or Term (3x+4)5( 3 x + 4 ) ^ { 5 }(3x+4)5

Find the Indicated Coefficient or Term $( 3 x + 4 ) ^ { 5 }$