find the division algorithm for x^3+3x^2+3x+1 with x-1/2
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Let f(x) = -x3 + 3x2 - 3x + 5 and g(x) = -x2 + x - 1. We have: Quotient, q(x) = x - 2 and remainder, r(x) = 3. Now, Quotient Divisor + Remainder. = (x - 2)(-x2 + x - 1) + 3. = -x3 + x2 - x + 2x2 - 2x + 2 + 3. = -x3 + 3x2 - 3x + 5 = Dividend.
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