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Math Help - polynomial adding!

  1. #1
    wildstyle1
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    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)

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  2. #2
    Super Member Aryth's Avatar
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    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:

    Property \ 1: xa + ya = (x+y)a
    Property \ 2: xa - ya= (x-y)a
    Property \ 3: a(x + y) = ax + ay
    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:

    3a + 4b - ( -6a - 3b)

    Using property 3, we can distribute the negative to the terms inside the parentheses:

    3a + 4b + (6a + 3b)

    = 3a + 4b + 6a + 3b

    Now, we regroup the like variables together:

    3a + 6a + 4b + 3b

    Using property 1, we can simplify each like term:

    9a + 7b

    That would be choice 5 or the last choice.
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  3. #3
    Super Member angel.white's Avatar
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    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.
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