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(define P1 (make-polynomial 'x '((2 1) (1 -2) (0 1)))) (define P2 (make-polynomial 'x '((2 11) (0 7)))) (define P3 (make-polynomial 'x '((1 13) (0 5)))) (define Q1 (mul P1 P2)) (define Q2 (mul P1 P3)) (greatest-common-divisor Q1 Q2) ;; Value: (polynomial x (2 1458/169) (1 -2916/169) (0 1458/169)) ;; So what happened? Why do we get such a strange result? ;; When gcd-terms is applied to the terms of Q1 and Q2, it returnes another call ;; of gcd-terms taking the terms of Q2 and the remainder terms of Q1 ;; divided by Q2 as its arguments. Unfortunately the remainder terms have ;; nonintegers as coefficients. That’s why the final result has noninteger ;; coefficients.
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