Here is the work for this one 3x 6 9 x 2 3 x 3 x x5

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Unformatted text preview: 4 x 2 - 2 x + 5 ) Note that we can always check our factoring by multiplying the terms back out to make sure we get the original polynomial. [Return to Problems] (b) x3 y 2 + 3 x 4 y + 5 x5 y 3 In this case we have both x’s and y’s in the terms but that doesn’t change how the process works. Each term contains and x3 and a y so we can factor both of those out. Doing this gives, x3 y 2 + 3 x 4 y + 5 x5 y 3 = x3 y ( y + 3x + 5 x 2 y 2 ) [Return to Problems] (c) 3 x 6 - 9 x 2 + 3 x In this case we can factor a 3x out of every term. Here is the work for this one. 3x 6 - 9 x 2 + 3 x = 3 x ( x5 - 3 x + 1) Notice the “+1” where the 3x originally was in the final term, since the final term was the term we factored out we needed to remind ourselves that there was a term there originally. To do this we need the “+1” and notice that it is “+1” instead of “-1” because the term was originally a positive term. If it had been a negative term originally we would have had to use “-1”. One of the more common mistak...
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