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Binomial Coefficients

If fx be a qu...

Question

If f(x) be a quadratic polynomial such that f(2) = -3 and f (-2) = 21 find the coefficient of x in f (x).

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Solution

$f (x) = x^{2} + a x + c f (2) = - 3 4 + 2 a c + c = - 3 . . . . . (1) 2 a + c = - 7 f (- 2) = 21 4 - 2 a + c = 21 c - 2 a = 17 . . . . . . (2)$ adding $1 a n d 2 2 c = 10; c = 5 2 a = - 12 a = - 6$

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Similar questions

If f (x) be a quadratic polynomial such that f (2)=-3 and f (-2)=21. Find the coefficient of x in f (x)

f (2) = 10

f (- 2) = - 2

f (x)

f (- 1) + f (2) = 0

f (x) = 0

3,

f (x)

1

lim x \to 0 f (x) = 3 = lim x \to 0 f^{'} (x)

lim x \to 2 f (x) =

(f^{'} (x) = \frac{d f (x)}{d x})

f (x)

g (x)

h (x)

h (x) = f (x) - g (x) \forall x \in R .

h (x) = 0

x = - 3

h (- 1) = 6,

h (5)

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