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in doing subtraction in polynomials how woud you write the subtraction of -7x^2+(3x)+(9) from 5x^2+6x+4

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1 Answer

    5x2 + 6x + 4
-(-7x2 + 3x + 9)
 
Change the signs and add:
 
   5x2 + 6x + 4
+ 7x2 - 3x  - 9
-------------------
12x2 + 3x -  5
 
You can also do it as follows:
 
(5x2+6x+4) - (-7x2+3x+9)
 
Change signs and add:
 
5x2 + 6x + 4 + 7x2 - 3x - 9
 
Combine like-terms:
 
(5x2+7x2) + (6x-3x) + (4-9)
 
12x2 + 3x - 5