• Feb 21st 2008, 07:16 PM
wildstyle1
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
• Feb 21st 2008, 07:54 PM
Aryth
\$\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= (x-y)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.
• Feb 21st 2008, 07:59 PM
angel.white
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.