document.write( "Question 1143388: If (x-2)(x+2)=ax^2 + bx + c, what is the aim of a,b and c?
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Algebra.Com's Answer #764237 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " How this problem is worded, printed, posted and presented, it MAKES NO ANY SENSE.\r
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document.write( ", if you want to find THE SUM of the coefficients \"a\", \"b\" and \"c\", then there is a beautiful way to do it.\r\n" );
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document.write( "Notice that for any quadratic polynomial  f(x) = ax^2 + bx + c,  the sum of its coefficients a + b + c is equal to \r\n" );
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document.write( "    f(1) = a*1^2 + b*1 + c = a + b + c.\r\n" );
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document.write( "So, put x= 1 in the polynomial  (x-2)*(x+2)  to get the sum value\r\n" );
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document.write( "    a + b + c = (1-2)*(1+2) = -1*3 = 3.\r\n" );
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document.write( "ANSWER.  a + b + c = -3.\r\n" );
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