Question 499533: Find the polynomial function p(x) if it is of the second degree and p(1)=3,p(0)=-1 and p(-1)=-3
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the polynomial function p(x) if it is of the second degree and p(1)=3,p(0)=-1 and p(-1)=-3
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given points: (1, 3), (0, -1), (-1, -3)
Standard form for 2nd degree equation: y=Ax^2+Bx+C
..
A + B + C = 3
C=-1
A - B - C = -3
..
A + B -1 =3
A - B -1 =-3
add
2A - 2 = 0
A = -1
..
A + B = 4
B =4 - A = 4 - 1 = 3
..
A = 1
B = 3
c = -1
..
ans:
P(x)=x^2+3x-1
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