SOLUTION: Simplify the polynomial 15^2 + 4x- 5x + 5x^2+ 9

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Question 150450: Simplify the polynomial

15^2 + 4x- 5x + 5x^2+ 9

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
15%5E2+%2B+4x-+5x+%2B+5x%5E2%2B+9 .... Start with the given expression


225%2B+4x-+5x+%2B+5x%5E2%2B+9 .... Square 15 to get 225


%285x%5E2%29+%2B+%284x-5x%29+%2B+%28225%2B9%29 .... Group the common terms. In other words, group all of the terms with x%5E2 together, group all of the x terms together, and group all of the constant terms together (ie terms with no variable).


%285x%5E2%29+%2B+%28-x%29+%2B+%28225%2B9%29 .... Subtract 5x from 4x to get -1x or just -x


%285x%5E2%29+%2B+%28-x%29+%2B+%28234%29 .... Add 225 and 9 to get 234


5x%5E2+-+x+%2B+234 ... Remove the parenthesis (they no longer serve a purpose)


So the expression 15%5E2+%2B+4x-+5x+%2B+5x%5E2%2B+9 simplifies to 5x%5E2+-+x+%2B+234


In other words, 15%5E2+%2B+4x-5x+%2B+5x%5E2%2B+9+=+5x%5E2-x+%2B+234