anonymous
  • anonymous
The graph of a polynomial passes through points A(2,5), B(3,2), and C(5,-1) use Gaussian elimination to find the polynomial. what is the best way to start?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
HELP!!
amistre64
  • amistre64
3 points, 3 unknowns ...
amistre64
  • amistre64
2^2 2 1 5 3^2 3 1 2 5^2 5 1 -1 4 2 1 5 9 3 1 2 25 5 1 -1 row reduce to your hearts content

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anonymous
  • anonymous
Ok thank you for the matrices but how did you get to that first step?
amistre64
  • amistre64
hmm, well we need to be able to fit these point to some curve. 2 points define a line, 3 points define a quadratic ... we need some quadratic equation that satisfies:\[ax^2+bx+c=y\]for the stated points \[2^2a+2b+1c=5\]\[3^2a+3b+1c=2\]\[5^2a+5b+1c=-1\] then its just a matter of pulling off the coefficents to form the matrix
anonymous
  • anonymous
That makes sense thank you very much! :)
amistre64
  • amistre64
youre welcome :)

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