SOLUTION: Find the coefficient of the x^8 term in the expansion of (x + 3)^17

Algebra ->  Expressions -> SOLUTION: Find the coefficient of the x^8 term in the expansion of (x + 3)^17       Log On


   

Question 1137600: Find the coefficient of the x^8 term in the expansion of (x + 3)^17
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Using the binomial theorem, expand the binomial
%28x+%2B+3%29%5E17+=17C0%2Ax%5E17%2A3%5E0%2B17C1%2Ax%5E16%2A3%5E1%2B17C2%2Ax%5E15%2A3%5E2++17C6+%28x%29%5E11%2A%283%29%5E6%2B17C7+%28x%29%5E10%2A%283%29%5E7++ +
use term with x%5E8:
17C9+%28x%29%5E8%2A%283%29%5E9=478493730+x%5E8 => coefficient is 478493730