Algebra/Algebra

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Question
I am division problems here..
Can you detail your explanation so that I can understand how you solved this question.
2x-3divide into 6x^2+x-15


Answer
If you compare 2x and 6x^2 you will see that the first factor of the solution is 3x.  If you multiply 3x by 2x-3 you get 6x^2-9x.  Subtract that from 6x^2+x-15 and you have 10x-15.  Now you can see that the second factor is 5 and
5 times 2x-3 = 10x-15
So your answer is 3x+5

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