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Question

Find the remainder when x^3 is divided by x^2 + 5x + 1.

Accepted Answer

arrayc|cc cc 2rx & -5 2-5 x^2 + 5x + 1 & x^3& & & 2rx^3 & +5x^2 & +x 2-4 2r & -5x^2 & -x & 2r & -5x^2 & -25x & -5 3-5 2r & & 24x & +5 array Thus, the remainder is 24x + 5.