Question 1149396
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<pre>

The sum a + b + c  of the coefficients of the polynomial  F(x) = ax^2 + bx + c  is equal

to the value of the polynomial at x= 1.



Therefore, to get the value of the sum,  calculate F(1).

To do it, put x= -4 in the expression F(x+5) = x^2 +9x - 7.



You will get then


    a + b + c = F(1) = F(-4+5) = (-4)^2 + 9*(-4) - 7 = 16 - 36 - 7 = -27.    <U>ANSWER</U>
</pre>

Solved.


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<U>Every time</U>, when the problem asks you about the sum of the coefficients of a polynomial,


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>REMEMBER &nbsp;(!)</U> 


that this sum is the value of the polynomial at x= 1.




<U>Every time</U>, when the problem asks you about the <U>alternate</U> sum of the coefficients of a polynomial,


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>REMEMBER &nbsp;(!)</U> 


that this sum is the value of the polynomial at x= -1.