Suppose . Find , , and if , , and…

MATHEMATICS · Subjective · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

Suppose

f(x) = ax^2 + bx + c

. Find

a

,

b

, and

c

if

f(0) = 5

,

f(-2) = 21

, and

f(3) = -4

.

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