SOLUTION: If 2x-3 is a factor of 10x^2 - 3x+c, find c. I know this has to do with long division and factoring.

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Question 675705: If 2x-3 is a factor of 10x^2 - 3x+c, find c.
I know this has to do with long division and factoring.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%2810x%5E2-3x%2Bc%29%2F%282x-3%29
...
2x-3 goes into 10x^2-3x+c: 5x
to get
10x^2 - 15x
subtracting
10x^2 - 10x^2 -3x - -15x
yielding
12x +c
...
2x - 3 goes into 12x + c: 6
to get
12x - 18
subtracting
12x - 12x + c - - 18
yielding
c + 18
...
highlight_green%28c+=+-18%29
such that
%2810x%5E2-3x-18%29%2F%282x-3%29+=+%285x%2B6%29
...
Check with FOIL
10x^2 + 12x - 15x - 18
10x^2 - 3x - 18
.....................
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