Find the indicated coefficient or term.
-The coefficient of x in the expansion of (7x + 3)3
A) 441
B) 189
C) 378
D) 9

Question

Quizplus · Accepted Answer

The coefficient of $x$ in the expansion of $(7x + 3)^3$ can be found using the binomial theorem. Specifically, we are looking for the term that involves $x^1$, which comes from the expansion term $3C2 \cdot (7x)^1 \cdot 3^2$. This simplifies to $3 \cdot 7 \cdot 9 = 189$.

Find the Indicated Coefficient or Term