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Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) in each of the following :(i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1(ii) f(x) = 10x4 + 17x3 − 62x2 + 30x − 3, g(x) = 2x2 + 7x + 1(iii) f(x) = 4x3 + 8x + 8x2 + 7, g(x) = 2x2 − x + 1(iv) f(x) = 15x3 − 20x2 + 13x − 12, g(x) = 2 − 2x + x2 |
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Answer» Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) in each of the following : (i) f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 + x + 1 (ii) f(x) = 10x4 + 17x3 − 62x2 + 30x − 3, g(x) = 2x2 + 7x + 1 (iii) f(x) = 4x3 + 8x + 8x2 + 7, g(x) = 2x2 − x + 1 (iv) f(x) = 15x3 − 20x2 + 13x − 12, g(x) = 2 − 2x + x2 |
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