SOLUTION: i have difficulty in this question..help me! find the quadratic polynomial whose graph goes through the points (-1,0), (0,1) and (2,21). and the answr should be f(x)= __x^2+__x+

SOLUTION: i have difficulty in this question..help me! find the quadratic polynomial whose graph goes through the points (-1,0), (0,1) and (2,21). and the answr should be f(x)= x^2+x+_

Question 338743: i have difficulty in this question..help me!
find the quadratic polynomial whose graph goes through the points (-1,0), (0,1) and (2,21).
and the answr should be f(x)= __x^2+__x+__
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The general quadratic equation is
Substitute your three points to get three equations in a,b, and c.
(-1,0):
1.
.
.
.
(0,1):
2.
.
.
.
(2,21):
3.
Substitute eq. 2 into eq.1 and eq. 3,

4.
.
.
.

5.
Add eq. 4 and eq. 5,

Then from eq. 4,

.
.
.

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SOLUTION: i have difficulty in this question..help me! find the quadratic polynomial whose graph goes through the points (-1,0), (0,1) and (2,21). and the answr should be f(x)= __x^2+__x+_

SOLUTION: i have difficulty in this question..help me! find the quadratic polynomial whose graph goes through the points (-1,0), (0,1) and (2,21). and the answr should be f(x)= x^2+x+_