SOLUTION: If (x-2)(x+2)=ax^2 + bx + c, what is the aim of a,b and c? A)-4 B)-3 C)0 D)1

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Question 1143388: If (x-2)(x+2)=ax^2 + bx + c, what is the aim of a,b and c?
A)-4
B)-3
C)0
D)1
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
How do you mean, "aim"?





Now what do you think?
Compare the coefficients.
Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
.

            How this problem is worded,  printed,  posted and presented,  it  MAKES  NO  ANY  SENSE. 


, if you want to find THE SUM of the coefficients "a", "b" and "c", then there is a beautiful way to do it.



Notice that for any quadratic polynomial  f(x) = ax^2 + bx + c,  the sum of its coefficients a + b + c is equal to 

    f(1) = a*1^2 + b*1 + c = a + b + c.



So, put x= 1 in the polynomial  (x-2)*(x+2)  to get the sum value


    a + b + c = (1-2)*(1+2) = -1*3 = 3.



ANSWER.  a + b + c = -3.



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