If f(x)is a quadratic polynomial such that f(2)= -3 and f(-2)= 21 then the coefficient of x in f(x)is ?
Asked by | 18th Dec, 2012, 08:54: AM
Expert Answer:
Let f(x) = ax2 + bx + c
Given, f(2) = -3
This gives 4a + 2b + c = -3 ... (1)
Given, f(-2) = 21
This gives 4a - 2b + c = 21 ... (2)
Subtracting (2) from (1), we get,
4b = -24
b = -6
Thus, the coefficient of x in f(x) is b = -6.
Given, f(-2) = 21
Answered by | 20th Dec, 2012, 10:48: AM
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