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Linear Algebra -- Cubic Equation from Given Points
Find the equation to the third polynomial that flows through the given points: (0,1); (1,0); (-1,0); (2, -15).
f(t) = a + bt + ct^2 + dt^4
Need to find a, b, c, and d.
See attachment. When I plug my answer back in, it obviously doesn't work; however, I cannot figure out where I missed up the matrix.
Any help is greatly appreciated.
Homework Statement
Find the equation to the third polynomial that flows through the given points: (0,1); (1,0); (-1,0); (2, -15).
Homework Equations
f(t) = a + bt + ct^2 + dt^4
Need to find a, b, c, and d.
The Attempt at a Solution
See attachment. When I plug my answer back in, it obviously doesn't work; however, I cannot figure out where I missed up the matrix.
Any help is greatly appreciated.
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