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Linear Algebra  Cubic Equation from Given Points 
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#1
Sep910, 06:08 PM

P: 308

1. The problem statement, all variables and given/known data
Find the equation to the third polynomial that flows through the given points: (0,1); (1,0); (1,0); (2, 15). 2. Relevant equations f(t) = a + bt + ct^2 + dt^4 Need to find a, b, c, and d. 3. 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. 


#2
Sep910, 07:30 PM

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PF Gold
P: 39,682

There is an error in the last column of your third matrix. You did not subtract 1 in the last column. It should be 0 2 4 8 16, not 15.



#3
Sep910, 08:30 PM

P: 308

Thanks for catching that mistake. Found another algebra mistake in another matrix, but all in all, I figured everything out. Thanks again for pointing out my miscue.



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