Tuesday

November 25, 2014

November 25, 2014

Posted by **Liz** on Sunday, February 3, 2008 at 9:35pm.

I don't know where to start =\

- math -
**Damon**, Sunday, February 3, 2008 at 10:03pm(1/x^8) [ 3 x^10 +1 ]^8

now find the term in x^8 in the expansion of

(3 x^10 + 1)^8

because when you multiply by (1/x^8) it will be constant.

I would use the formula for binomial coefs rather than 9 rows of Pascal

C(n,r) = n!/[r!(n-r)!]

for n = 8 and r = 2

C = 8!/[6!(2!)]

= 8*7/2 = 28

- math -
**Reiny**, Monday, February 4, 2008 at 7:46amThe general term in the expansion is

t_{r+1}= C(8,r)(3x^{2})^{8-r}(1/x)^{r}

= C(8,r) 3^(8-r) x^(16-3r)

to have a constant term the exponent of x must be zero, or

16-3r = 0

**There is not integer solution for this, so the expansion does not have a "constant" term**

another way to see it,...

the first term contains x^16, the second term constains x^13, .....

each term will contain an x term

**Answer this Question**

**Related Questions**

Calculus - Find the constant term in the expansion of [x + (3/x squared)]^9 Find...

math - which term in the expansion of (1/(3x^2)-x)^15 is the constant term? A. ...

algebra 2 - Find the constant term or the term independent of x in the expansion...

Math - Which term in the expansion of ((1/2x^3)-(x^5))^8 is a constant? THANKS...

Math - Which term in the expansion of ((1/2x^3)-(x^5))^8 is a constant? THANKS...

Math binomial formula and sequence - a) use the binomial formula to find the 5th...

Math - 2x^3 + 3x^2 + x + 1 dx --------------------- -2x + 1 [2x^3 + 3x^2 + x...

Math 30 - Determine the constant term in the expansion of (x+2)^9. would it be 2...

MATH (expansion) - Which of the following represents the fourth term of the ...

pre-calculus - Find the designated term of the binomial expansion. 5th term of (...