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If ax^(2)+bx+c is divided by x+3,x-5, an...

If `ax^(2)`+bx+c is divided by x+3,x-5, and x-1, the remainders are 21, 61 and 9 respectively. Find a,b, and c. (Use Gaussian elimination method. )

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The correct Answer is:
`=2x^(2)+x+6`
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