do the following divisons and verify the division algorithm for polynomials
(1) x^3-5*x^2+11*x-3/x^2-2*x+3
(2) 8x^3 - 6x^2 -10x + 5 / 4x^2 + 3x + 1
(3) x^4- 3x^2 + 5x - 1 / x^2 - 3
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Answer:
1. Remainder:- (x-3), Quotient:- (2x+3)
2. Remainder:- (2x-3), Quotient:- (-3x+8)
3. Remainder:- x*2, Quotient:- (5x-1)
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