SOLUTION: factor 15x<sup>4</sup>-10x<sup>2</sup>-30x

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Question 400673: factor 15x4-10x2-30x
Found 2 solutions by sofiyac, Edwin McCravy:
Answer by sofiyac(983)   (Show Source): You can put this solution on YOUR website!
You can take out 5x from each term, so you factor 5x
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

15x4-10x2-30x

Ask yourself: What is the largest whole number that can be divided evenly
into 15, 10, and 30?

Answer: 5

Is it different from 1?

Answer: yes

Then 5 is the first factor of the GCF.

Ask yourself: Is there a letter which appears in every term? 

Answer: yes, x appears in every term.

Then what is the smallest exponent of x?

Answer: The understood exponent 1 in the term -30x which means 
-30x1 

Then the GCF is 5x

Then we write

5x(

Then we divide 15x4 by 5x and get 3x3.
So we write this next and we have this:

5x(3x3

Then we divide -10x2 by 5x and get -2x.
So we write this next and we have this:

5x(3x3-2x

Then we divide -30x by 5x and get -6.
So we write this next and we have this:

5x(3x3-2x-6

We have now divided all the terms by the 5x and so we
end by putting a right parentheses on the right end.
So the final answer is

5x(3x3-2x-6)

Edwin
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