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
801	Add $3 x^{2} + x + 8$ and $x^{2} - 9$ .	2
802	Add $- 8 + a^{2} - 3 a^{4}$ and $- 4 a^{2} - 4 a - 2 a^{4}$ .	2
803	Subtract polynomials: $4 x + 5 x^{2} - 1$ , $7 x + 3 + 8 x^{2}$ .	2
804	Subtract polynomials: $4 x + 5 x^{2} - 1$ , $- 7 x + 3 + 8 x^{2}$ .	2
805	Multiply polynomial $- 2 x + 2$ by $- x^{2}$ .	2
806	Add $2 x^{2} + 6 x$ and $- 3 x^{2}$ .	2
807	Add $x + 4$ and $4 x$ .	2
808	Multiply polynomial $- 3 x + 3$ by $- x$ .	2
809	Add $- 4 x$ and $- 5 x + 1$ .	2
810	Add $- 3 x$ and $- x^{2} - 4 x$ .	2
811	Subtract polynomials: $3 x^{2} - x$ , $- 5 x$ .	2
812	Multiply polynomial $x + 2$ by $4 x + 1$ .	2
813	Subtract polynomials: $- 3 x^{2} + x$ , $- 2 x + 3$ .	2
814	Subtract polynomials: $x + 3$ , $x^{2} + 4 x$ .	2
815	Multiply polynomial $- 4 x + 6$ by $- 2 x + 5$ .	2
816	Add $3 x^{2} - 9 x$ and $- x + 1$ .	2
817	Multiply polynomial $- 5 x + 3$ by $3 x + 4$ .	2
818	Multiply polynomial $3 x + 6$ by $3 x + 1$ .	2
819	Multiply polynomial $2 x + 6$ by $x + 5$ .	2
820	Multiply polynomial $x^{2} + 2 x + 1$ by $x^{2} - 2 x + 1$ .	2
821	Multiply polynomial $2 x - 3$ by $x^{2} + x + 1$ .	2
822	Multiply polynomial $x^{2} + 4 x + 2$ by $2 x + 2$ .	2
823	Multiply polynomial $x^{2} + 4 x + 4$ by $2 x + 2$ .	2
824	Add $7 x^{3} - 2$ and $5 x^{3} - x - 3$ .	2
825	Add $6 x^{5} + 1$ and $2 x^{5} + 9 x - 1$ .	2
826	Add $- 5 x^{2} + 4$ and $- 3 x^{2} - 5 x + 2$ .	2
827	Subtract polynomials: $8 x^{2} - 3 x$ , $5 x - 40 x^{3}$ .	2
828	Subtract polynomials: $- 2 x^{3} + x$ , $7 x - 3 - 7 x^{3}$ .	2
829	Multiply polynomial $8 x^{5}$ by $3 x^{5}$ .	2
830	Add $3 x^{2}$ and $2 - x^{2}$ .	2
831	Multiply polynomial $x^{4} + 7$ by $5 x^{2} + 10 x - 1$ .	2
832	Subtract polynomials: $7 - 13 x^{3} - 11 x$ , $2 x^{3} + 8 - 4 x^{5}$ .	2
833	Multiply polynomial $4 a + 2$ by $12 a - a + 2$ .	2
834	Multiply polynomial $x + 7$ by $8 x^{2} - x - 1$ .	2
835	Multiply polynomial $2 x^{2} - x - 2$ by $- 2 x^{2} - 3 x + 8$ .	2
836	Add $x - 7$ and $x^{2} - x - 3$ .	2
837	Multiply polynomial $5$ by $- 2$ .	2
838	Multiply polynomial $6 x + 9$ by $6 x^{2} + 4 x + 5$ .	2
839	Multiply polynomial $x + 6$ by $- 5 x^{2} + 7 x - 10$ .	2
840	Subtract polynomials: $- 5 x^{2} - 7 x + 2$ , $- 5 x^{2} + 7 x + 2$ .	2
841	Add $- 7 x^{2} + 3 x - 10$ and $- 6 x^{2} - 10 x + 3$ .	2
842	Multiply polynomial $2 x^{2} - x - 5$ by $- x^{2} - x - 3$ .	2
843	Multiply polynomial $- x + 2$ by $x^{2} + 9 x - 2$ .	2
844	Multiply polynomial $3 x + 2$ by $3 x^{2} - 3 x - 7$ .	2
845	Multiply polynomial $4 x - 3$ by $3 x^{2} - 5 x - 8$ .	2
846	Multiply polynomial $x - 2$ by $x + 1$ .	2
847	Subtract polynomials: $3 x + 8 x^{2} + 7$ , $12 x^{2} - 3 - 6 x$ .	2
848	Add $6 + 4 x^{2} - 11 x$ and $6 x^{2} - 9 - 7 x$ .	2
849	Multiply polynomial $6 x^{3} + 5 x^{2} - 3 x - 2$ by $x^{2} - 5 x + 5$ .	2
850	Multiply polynomial $x^{2} - 2 x - 2$ by $4 x^{2} - 4 x + 1$ .	2