Operations on polynomials

(the database of solved problems)

All the problems and solutions shown below were generated using the Polynomial Operations Calculator.

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ID	Problem	Count
701	Add $x^{2} + 3$ and $2 x^{2} + 2 x + 1$ .	2
702	Add $2 x^{2} + 3$ and $4 x - 1$ .	2
703	Add $7 a - 6 a^{3} + a^{2}$ and $2 - 3 a^{2} + a$ .	2
704	Add $1 + 7 r^{4} - 8 r$ and $4 r - 2 r^{4} - 1$ .	2
705	Add $- k - 8 k^{3} + 5 k^{4} + k^{2}$ and $- 3 k^{3} + 6 k^{2} + 3 k$ .	2
706	Add $- 6 x^{4} - 3 x^{3} + 5 + 3 x^{2}$ and $8 x^{4} + 6 x^{3} + 4 x^{2}$ .	2
707	Subtract polynomials: $- 7 r - 4 r^{3} - 7 r^{2}$ , $4 r + 7 r^{3} - 2 r^{2}$ .	2
708	Subtract polynomials: $- 3 - 4 x^{2} - 8 x^{4}$ , $- 1 + 3 x^{4} + 8 x^{2}$ .	2
709	Subtract polynomials: $8 n^{3} + 6 n^{2} + n - 7$ , $8 n - 2 n^{2} - 8 n$ .	2
710	Subtract polynomials: $- 4 + 8 n^{2} - 8 n$ , $8 n - 2 n^{2} - 8 n$ .	2
711	Subtract polynomials: $- 4 + 8 n^{2} - 8 n^{3} - 2 n$ , $7 n^{2} - 4 n^{3} - 1$ .	2
712	Multiply polynomial $x^{2} + 6 x - 4$ by $2 x - 4$ .	2
713	Subtract polynomials: $- 2 g^{3} + 4 g^{2} - g - 8$ , $- 7 g^{3} + g$ .	2
714	Subtract polynomials: $- 4 s^{4} + 3 s^{3}$ , $2 s - 3$ .	2
715	Subtract polynomials: $6 q^{4} - q^{3} + 9 q^{2} + 6 q + 4$ , $6 q^{4} + 7 q^{3} + 2 q^{2} - 3 q$ .	2
716	Subtract polynomials: $4 g^{3} + 6 g^{2} + 3 g + 9$ , $3 g^{3} + 5 g^{2} + g + 1$ .	2
717	Multiply polynomial $2 t + 2$ by $2 t - 2$ .	2
718	Multiply polynomial $3 g + 4$ by $4 g - 3$ .	2
719	Multiply polynomial $r^{2} + r + 1$ by $3 r - 4$ .	2
720	Multiply polynomial $d^{2} - 4 d + 4$ by $3 d + 1$ .	2
721	Multiply polynomial $2 v^{2} + 4 v + 2$ by $2 v + 4$ .	2
722	Multiply polynomial $4 x^{2} + 12 x - 9$ by $x - 3$ .	2
723	Add $2 x + 15 + x + x + 15 + x - 5 + x + 2 x - 5$ and $0$ .	2
724	Subtract polynomials: $2 x - 8 x^{2}$ , $5 x^{4} - 3 x^{2}$ .	2
725	Add $- 2 x^{2} + 10 x^{4} + x^{3}$ and $4 x^{3} + 3 x^{4} + 8 x^{2}$ .	2
726	Subtract polynomials: $4 x^{3} + 5$ , $7 - 2 x^{3}$ .	2
727	Subtract polynomials: $4 x^{4} - 2 x$ , $6 x - 2 x^{4}$ .	2
728	Subtract polynomials: $13 x^{2} - 6 x^{5} - 2 x$ , $- 10 x^{2} - 11 x^{5} + 9 x$ .	2
729	Multiply polynomial $2 x^{3} + 3 x^{2}$ by $4 x^{4} - 5 x^{3} - 6 x^{2}$ .	2
730	Add $4 x^{2} + x + 5$ and $7 x^{2} - 3 x - 3$ .	2
731	Multiply polynomial $s^{4} + 26 s^{3} + 223 s^{2} + 630 s$ by $s^{4} + 7 s^{3} + 22 s^{2} + 30 s$ .	2
732	Add $20 s^{3} + 220 s^{2} + 720 s + 720$ and $s^{3} + 10 s^{2} + 20 s + 20$ .	2
733	Add $20 s^{3} + 220 s^{2} + 720 s + 720$ and $s^{3} + 10 s^{2} + 29 s + 20$ .	2
734	Multiply polynomial $20 s^{3} + 220 s^{2} + 720 s + 720$ by $s^{3} + 10 s^{2} + 29 s + 20$ .	2
735	Multiply polynomial $w - 1$ by $4 w - 4$ .	2
736	Subtract polynomials: $- 3 t^{2} + 2 t + 2$ , $- 2 t^{2} - 7 t - 1$ .	2
737	Multiply polynomial $4 t + 1$ by $2 t - 1$ .	2
738	Multiply polynomial $4 c + 1$ by $- 4 c^{2} + 3 c - 1$ .	2
739	Multiply polynomial $- 2 g^{3} + 11 g^{2} - 10 g - 14$ by $g - 2$ .	2
740	Multiply polynomial $20 s^{3} + 220 s^{2} + 720 s + 720$ by $s^{4} + 7 s^{3} + 22 s^{2} + 30 s$ .	2
741	Multiply polynomial $s^{4} + 26 s^{3} + 223 s^{2} + 630 s$ by $s^{3} + 10 s^{2} + 29 s + 20$ .	2
742	Add $20 s^{7} + 360 s^{6} + 2700 s^{5} + 11200 s^{4} + 27480 s^{3} + 37440 s^{2} + 21600 s$ and $s^{7} + 36 s^{6} + 512 s^{5} + 3634 s^{4} + 13287 s^{3} + 22730 s^{2} + 12600 s$ .	2
743	Multiply polynomial $20 s^{3} + 220 s^{2} + 720 s + 720$ by $s^{4} + 7 s^{3} + 22 s^{2} + 30 s$ .	2
744	Multiply polynomial $s^{3} + 10 s^{2} + 29 s + 20$ by $s^{4} + 26 s^{3} + 223 s^{2} + 630 s$ .	2
745	Subtract polynomials: $20 s^{7} + 360 s^{6} + 2700 s^{5} + 11200 s^{4} + 27480 s^{3} + 37440 s^{2} + 21600 s$ , $s^{7} + 36 s^{6} + 512 s^{5} + 3634 s^{4} + 13287 s^{3} + 22730 s^{2} + 12600 s$ .	2
746	Multiply polynomial $20 s^{3} + 220 s^{2} + 720 s + 720$ by $s^{3} + 10 s^{2} + 29 s + 20$ .	2
747	Multiply polynomial $8 x + 2$ by $7 x + 6$ .	2
748	Multiply polynomial $8 x - 6$ by $3 x - 2$ .	2
749	Subtract polynomials: $3 x^{5} + 7 x^{2} - 4 x + 8$ , $4 x^{4} + 16 x - 3 x + 7$ .	2
750	Multiply polynomial $x - 14$ by $x + 4$ .	2