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
901	Subtract polynomials: $4 x^{3} + 6 x - 7$ , $3 x^{3} - 5 x^{2} - 5 x$ .	2
902	Subtract polynomials: $4 x^{3} + 6 x - 7$ , $3 x^{3} - 5 x^{2} - 5 x$ .	2
903	Multiply polynomial $5 x^{3}$ by $6 x - 8$ .	2
904	Subtract polynomials: $12 x^{2} - 8 x + 11$ , $- 14 + 10 x^{2} - 6 x$ .	2
905	Add $8 x^{2} - 3 x + 9$ and $4 x^{2} + 8 x - 2$ .	2
906	Multiply polynomial $x^{2} + 3 x$ by $x^{2} - x + 4$ .	2
907	Add $- 3 x + 7$ and $5 x - 3$ .	2
908	Subtract polynomials: $2 x^{2} - 9 x + 3$ , $3 x^{2} + 3 x - 2$ .	2
909	Multiply polynomial $x - 2$ by $x^{2} + 2 x + 4$ .	2
910	Multiply polynomial $x + 8$ by $x + 8$ .	2
911	Multiply polynomial $x - 5$ by $x + 5$ .	2
912	Multiply polynomial $3 x + 7$ by $2 x + 3$ .	2
913	Multiply polynomial $x - 10$ by $x + 2$ .	2
914	Multiply polynomial $x + 7$ by $x + 8$ .	2
915	Subtract polynomials: $6 x^{3} - 4 x^{2} + 10 x - 7$ , $3 x^{3} - 4 x^{2} - 2 x + 10$ .	2
916	Subtract polynomials: $6 x^{3} - 4 x^{2} + 10 x - 7$ , $x^{3} - 4 x^{2} - 2 x + 10$ .	2
917	Add $- 5 x^{3} + 4 x^{2} - 8 x + 9$ and $10 x^{3} + 10 x^{2} - 6 x - 3$ .	2
918	Multiply polynomial $x + 2$ by $x^{2} - 5 x + 6$ .	2
919	Add $3 u + 6$ and $u^{2} + 4$ .	2
920	Multiply polynomial $2$ by $- 3 g^{2} - 9$ .	2
921	Add $- 2 q^{3} + 7 q^{2}$ and $- q + 8$ .	2
922	Multiply polynomial $3 x^{2} + x - 2$ by $- 4 x^{2} - 2 x - 1$ .	2
923	Multiply polynomial $x + 6$ by $x + 6$ .	2
924	Multiply polynomial $3 c - 5$ by $3 c - 5$ .	2
925	Multiply polynomial $- x - 3$ by $2 x^{2} + 5 x + 8$ .	2
926	Multiply polynomial $- 4 x^{5}$ by $11 x^{3} + 2 x^{2} + 9 x + 1$ .	2
927	Add $4 t + 8 t + 9$ and $6 t + 5$ .	2
928	Add $12 x^{5} - 3 x^{4} + 2 x - 5$ and $8 x^{4} - 3 x^{3} + 4 x + 1$ .	2
929	Subtract polynomials: $5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4$ , $7 x^{5} - 8 x^{4} + 2 x - 11$ .	2
930	Multiply polynomial $8 b - 2$ by $3 b^{2} + 2 b - 2$ .	2
931	Subtract polynomials: $7 a^{2} - a + 4$ , $3 a^{2} - 4 a - 3$ .	2
932	Multiply polynomial $2 a$ by $5 a^{2} + 8 a + 8$ .	2
933	Subtract polynomials: $- 18 p^{2} + p - 32$ , $40 - 13 p^{2}$ .	2
934	Multiply polynomial $x - 2$ by $x^{2} - x + 3$ .	2
935	Add $5 x^{2} + 2 x - 8$ and $3 x^{2} - 7 x - 1$ .	2
936	Multiply polynomial $7 a + 2$ by $2 a^{2} - 5 a + 3$ .	2
937	Subtract polynomials: $x - 4 - 8 x^{2} - 8$ , $2 x + 5$ .	2
938	Subtract polynomials: $4 x^{2} + 5 x$ , $3 x^{2} - 2 x - 3$ .	2
939	Multiply polynomial $4 x + 3$ by $x - 2$ .	2
940	Add $14 x + 3 x - 3$ and $8 x + 5 - 6 x - 2 x - 3$ .	2
941	Multiply polynomial $2 x^{2} + 5 x + 2$ by $x^{2} + 2 x - 3$ .	2
942	Multiply polynomial $2 x + 5 x + 4$ by $x + 1$ .	2
943	Add $2 x + 3 x - 3$ and $14 x + 7 x$ .	2
944	Add $2 x^{2} + 5 x + 2$ and $x^{2} + 2 x - 3$ .	2
945	Multiply polynomial $3 x^{2} - 2 x + 3$ by $4 x^{2} + 5 x$ .	2
946	Multiply polynomial $2 x - x - 6$ by $2 x - 4 x + 3$ .	2
947	Add $2 x^{2} - 5 x - 2$ and $x^{2} + 2 x - 3$ .	2
948	Subtract polynomials: $x^{6} + 7 x^{5} + 2 x^{4} + 9 x^{3} + 10 x^{2} + 12 x + 15$ , $x^{6} + 9 x^{5} + 8 x^{4} + 9 x^{3} + 12 x^{2} + 15 x + 20$ .	2
949	Multiply polynomial $x^{6} + 7 x^{5} + 2 x^{4} + 9 x^{3} + 10 x^{2} + 12 x + 15$ by $x^{6} + 9 x^{5} + 8 x^{4} + 9 x^{3} + 12 x^{2} + 15 x + 20$ .	2
950	Add $7 x - 2$ and $4 x - 9$ .	2