CPhill

You should get 0......

You should get

6z^5 + 15z^4 -22z^3 -8z^2 + 17z - 6

OK...just type in 17......I think they only want the coefficient ......not the "whole" term....

Here's the result from Wolfram Alpha........

It's known to be pretty reliable............  it has 17x, as wel.....

For the second one......just disribute the first term in the first set of parentheses across each term in the second set of parentheses.

Do the same with the second term......and then with the third term.........combine like terms when you finish......

Huh??.....those are the only three terms that have an " x " associated with them when we simplify this.....

I don't think I mis-added....

Let's just factor 10000  =

2⁴ x 5⁴  =

16 x 625

And neither one of those contain a 0..........!!!!

Only three terms have will "x" associated with them .....8x

And distributing the "-3" across the "6x" in the parentheses we get -18x

And when we distribute "9" across the"3x" in parentheses we get 27x...so.....

8x - 18x +  27x   =   17x

That's what it is.........it's like asking what  6x + 1 is........(the only thing we could do is to get a common denominator and write it as a single fraction....... if you're so inclined)

Here's another way to do this

tan 12t / sin4t    =

(sin12t/cos12t) / sin4t = (divide numerator and denominator by t)

(sin12t/t) /[(sin4t/t)(cos12t)] = (multiply the numerator by 12/12  and the denominator by 4/4)

(12sin12t/12t) / [ (4sin4t/4t)(cos12t)]

Now

lim t → 0   (12sin12t/12t)   = 12   and

lim t → 0   (4sin4t/4t)  = 4    and

lim t → 0  (cos12t)  = 1     so

12/(4 * 1 )  = 12/4   = 3