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g(3) = -3 => -3 = (-3)² - 3p + q
-3 = 9 - 3p + q
3p - q = 12 .. (1)
g(-1) = 6 => 6 = 6² + 6p + q
6 = 36 + 6p + q
6p + q = -30 .. (2)
Eliminasi (1) dan (2)
3p - q = 12
6p + q = -30
................. +
9p = -18
p = -2
3p - q = 12
=> 3(-2) - q = 12
=> -6 - q = 12
=> q = -18
g(x) = x² + px + q
g(x) = x² - 2x - 18
g(-5) = (-5)² - 2(-5) - 18
= 25 + 10 - 18
= 17