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Divide the polynomial (x^3 - 3x^2 + 5x - 3) by the polynomial (x^2 - 2)
Q 1: (i) Divide the polynomial (x^3 - 3x^2 + 5x - 3) by the polynomial (x^2 - 2) and find the quotient and remainder
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Q 1: (ii) Divide the polynomial (x^4 - 3x^2 + 4x + 5) by the polynomial (x^2 + 1 - x) and find the quotient and remainder
Q 1: (iii) Divide the polynomial (x^4 - 5x + 6) by the polynomial (2 - x^2) and find the quotient and remainder
Q 2: (i) Check whether the first polynomial (t^2 - 3) is a factor of second polynomial (2t^4 + 3t^3 - 2t^2 - 9t - 12) by dividing second polynomial by the first polynomial.
Q 2: (ii) Check whether the first polynomial (x^2 + 3x + 1) is a factor of second polynomial (3x^4 + 5x^3 - 7x^2 + 2x +2) by dividing second polynomial by the first polynomial.
Q 2: (iii) Check whether the first polynomial (x^3 - 3x + 1) is a factor of second polynomial (x^5 - 4x^3 + x^2 + 3x +1) by dividing second polynomial by the first polynomial.
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