
polynomial adding!
i have a test to assess my skills tommorrow and i need to know how to add polynomials..
could someone walk me through this question and how to come up with an answer...
its question 5 of this link (dont worry, the link leads to a practice assessment)
About Clark COMPASS Sample Algebra Skills Test

$\displaystyle Find \ a \ Statement \ Equivalent \ to \ 3a + 4b  (6a  3b)$
This is as simple as adding numbers, but there are some properties you need to remember:
$\displaystyle Property \ 1: xa + ya = (x+y)a$
$\displaystyle Property \ 2: xa  ya= (xy)a$
$\displaystyle Property \ 3: a(x + y) = ax + ay$
$\displaystyle Property \ 4: a^x(a^y) = a^{x + y}$
I don't think you'll need anymore than that, now let's look at the problem:
$\displaystyle 3a + 4b  ( 6a  3b)$
Using property 3, we can distribute the negative to the terms inside the parentheses:
$\displaystyle 3a + 4b + (6a + 3b)$
$\displaystyle = 3a + 4b + 6a + 3b$
Now, we regroup the like variables together:
$\displaystyle 3a + 6a + 4b + 3b$
Using property 1, we can simplify each like term:
$\displaystyle 9a + 7b$
That would be choice 5 or the last choice.

Go ahead and simplify this expression:
6a + 3b  2( 2a + 5b )
Begin by identifying the coefficient (this would be the "a" in Aryth's property 3), then distribute it to each term, then add all like terms.