SOLUTION: write the coefficient and constraint matricese for a cubic polynomial that passes through the points (-2,29), (-1,12), (1,-2) and (3,56)

Algebra ->  Matrices-and-determiminant -> SOLUTION: write the coefficient and constraint matricese for a cubic polynomial that passes through the points (-2,29), (-1,12), (1,-2) and (3,56)      Log On


   

Question 1063845: write the coefficient and constraint matricese for a cubic polynomial that passes through the points (-2,29), (-1,12), (1,-2) and (3,56)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomial=Ax%5E3%2BBx%5E2%2BCx%2BD=%22P%28x%29%22

Substitute given points:



Write the matrix for the system



In row-reduced echelon form is:



So polynomial is

expr%2817%2F15%29x%5E3%2Bexpr%2828%2F5%29x%5E2-expr%28122%2F15%29x-3%2F5

Edwin