Divide 8x^2 + 21x + x^3 + 18 by 6 + 5x + x^2
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(8x²+21x+x³+18)/(6+5x+x²)
6+5x+x² = (x+2)(x+3)
consider
18 =2*3*3
2+3+3=8
2*3+3*3+2*3=21
(8x²+21x+x³+18)=(x+2)(x+3)(x+3)
hence
(8x²+21x+x³+18)/(6+5x+x²) = x+3
6+5x+x² = (x+2)(x+3)
consider
18 =2*3*3
2+3+3=8
2*3+3*3+2*3=21
(8x²+21x+x³+18)=(x+2)(x+3)(x+3)
hence
(8x²+21x+x³+18)/(6+5x+x²) = x+3
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