- #1

Schaus

- 118

- 5

## Homework Statement

1. Given the binomial (x

^{2}-x)

^{13}determine the coefficient of the term of degree 17.

Answer = -715

2. Given the binomial (2x+3)

^{10}determine the coefficient of the term containing x

^{7}.

Answer = 414720

2. Homework Equations

2. Homework Equations

t

_{k+1}=

_{n}C

_{k}a

^{n-k}b

^{k}

## The Attempt at a Solution

#1 - What am I being asked for with "the term of degree 17"? I tried using 17 as my K value but that doesn't work.

#2 - t

_{k+1}=

_{n}C

_{k}a

^{n-k}b

^{k}

a=2x b=3 n=10 k=7

t

_{k+1}=

_{10}C

_{7}(2x)

^{10-7}(3)

^{7}

= (120)(8x

^{3})(2187)

=2099520x

^{3}

Not even close to the answer I need. Any help would be greatly appreciated!