当x = 0时,ax²+bx+c = a·0²+b·0+c = 19
∴c = 19
当x = 1时,ax²+bx+c = a·1²+b·1+c = a+b+19 = 0
当x = 2时,ax²+bx+c = a·2²+b·2+c = 4a+2b+19 = 3
联立方程组,得:
a+b = -19……(1)
2a+b = -8……(2)
(2) -(1),得:a = 11
代入(1),得:b = -30
∴代数式为11x²-30x+19
当x = 0时,ax²+bx+c = a·0²+b·0+c = 19
∴c = 19
当x = 1时,ax²+bx+c = a·1²+b·1+c = a+b+19 = 0
当x = 2时,ax²+bx+c = a·2²+b·2+c = 4a+2b+19 = 3
联立方程组,得:
a+b = -19……(1)
2a+b = -8……(2)
(2) -(1),得:a = 11
代入(1),得:b = -30
∴代数式为11x²-30x+19