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):
Answer by ikleyn(52790)  (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.
|
|
|
