Question 84726: Okay I was supposed to multiply (x-3)(x-2)(x-2)....I have =x^3+3x+4x+7
=x^3+7x+7..Did I do this right??? Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website! You have some errors somewhere.
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Probably the best way to work this problem is to select any two of the factors you are given,
then multiply those two together. When you get that answer, multiply it by the remaining
factor.
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Let's do it.
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Given:
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Pick two of the factors. It could be any two, but let's take the first two and multiply:
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From the first set of parentheses take the x and multiply it by both terms in the second
set of parentheses. This results in:
. <=== remember the answer of
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next, take the second term in the first set of parentheses and multiply this by both terms
in the second set of parentheses. In other words, take the -3 from the first set of
parentheses and multiply it by both terms in (x - 2). This is:
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Take the answer you remembered from above and add this last answer to it. The result is:
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Now take this answer and multiply it by the third factor from the original problem.
The third factor is and you multiply it by the answer you got by multiplying
the first two factors. This multiplication is:
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To do this multiplication start by taking the x from the first set of parentheses and
multiply it by all three terms in the second set of parentheses. That is:
. <=== remember the answer
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Then take the -2 from the first set of parentheses and multiply it by all three terms in
the second set of parentheses. That is:
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Take the answer you remembered above and add this answer to it. The result is:
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Collect the like powers of x in descending order:
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Combine the like terms and to get . Also combine the
terms and to get . This makes the final answer become:
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That's the answer you should have gotten.
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Hope this helps you to see a way of solving problems of this type and also helps you to find
where you made your mistakes.
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