Operations on polynomials

(the database of solved problems)

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

Select category

ID	Problem	Count
51	Add $6 c^{5} - 2 c^{4} - 2$ and $- 11 c^{2} - 15$ .	26
52	Subtract polynomials: $2 p^{6} - 4$ , $6 p^{5} + 8 - p^{7}$ .	25
53	Subtract polynomials: $x^{2} + 4 x$ , $2 x^{2} - 5 x + 3$ .	24
54	Subtract polynomials: $2 x^{3} - 2 x - 3$ , $2 x + 5$ .	24
55	Multiply polynomial $3 x - 2 x + x - 1$ by $x - 1$ .	24
56	Subtract polynomials: $- 5 x^{2} + 6 x + 6$ , $6 x^{2} - 5$ .	23
57	Add $31 y - 140 y$ and $14 y - 64 y$ .	23
58	Subtract polynomials: $- 2 v^{2} - 8 v - 7$ , $- 4 v + 8$ .	22
59	Subtract polynomials: $4 x^{2} - 6$ , $x^{2} + 1$ .	22
60	Multiply polynomial $- 8 - 6 i$ by $- 8 + 6 i$ .	21
61	Multiply polynomial $2 u^{2} + 5$ by $5 u - 2 u^{2} + 2$ .	21
62	Subtract polynomials: $7 x^{4} - 5 x^{3} + 8 x^{2} + 9 x - 13$ , $2 x^{4} + 6 x^{3} - 4 x^{2} - x + 4$ .	20
63	Add $7 + 8 i$ and $2 + 6 i$ .	20
64	Multiply polynomial $- 5 m + 2$ by $- 5 m + 2$ .	20
65	Add $4 r^{2} - 4 r - 8$ and $9 r^{3} - 5 r^{2} - 9 r + 7$ .	19
66	Add $10 x^{2} - 4 + 3$ and $7 x^{2} - 3 x + 13$ .	19
67	Subtract polynomials: $5 x + x$ , $3 x + 4 x$ .	19
68	Subtract polynomials: $7 y + 1$ , $3 y + 1$ .	19
69	Subtract polynomials: $18 w + 8 w + 5$ , $2 w + 1$ .	19
70	Multiply polynomial $3 x - 5$ by $2 x + 2$ .	18
71	Add $- 8 x^{2} + 3$ and $x^{2} + 3 x - 8$ .	18
72	Multiply polynomial $5 k^{3} + 3 k^{2} - 2 k$ by $- 8 k^{3} - 20 k$ .	17
73	Multiply polynomial $2 x + 4$ by $x - 3$ .	17
74	Multiply polynomial $4 b^{2} - 2$ by $4 b^{2} + 2 - 2 b$ .	17
75	Add $x^{2} - 4 x - 10$ and $x^{2} - 9 x + 3$ .	16
76	Subtract polynomials: $2 p^{5} - 5 p - 4$ , $6 p^{5} + 8 - p$ .	16
77	Multiply polynomial $- 6 + 7 i$ by $4 + 2 i$ .	16
78	Add $4 x^{2} - 4 x - 18$ and $4 x^{2} - 11 x - 1$ .	16
79	Multiply polynomial $2 y^{2} - 2$ by $5 y^{2} - 5 y + 2$ .	16
80	Subtract polynomials: $10 x^{2} + 8 x - 5$ , $- 9 x^{2} - 3 x - 4$ .	15
81	Multiply polynomial $9 x^{2} + 6 x - 8$ by $x + 2$ .	15
82	Add $10 x^{2} + 4 x - 22$ and $7 x^{2} - 5 x + 18$ .	14
83	Add $7 m + 1$ and $9 m + 6$ .	14
84	Multiply polynomial $9026$ by $- 9005$ .	14
85	Multiply polynomial $4 b^{2}$ by $4 b^{2} + 2 - 2 b$ .	14
86	Multiply polynomial $3 q^{2} + 5 q$ by $6 q^{2} + 8 q + 9$ .	13
87	Multiply polynomial $- x + 3$ by $- x - 5$ .	13
88	Subtract polynomials: $81 w + 8 w + 5$ , $2 w + 1$ .	13
89	Multiply polynomial $10 y + 50$ by $y + 6$ .	13
90	Multiply polynomial $x + 2$ by $x - 1$ .	12
91	Multiply polynomial $5 + 3 x + 2 x^{2} + x^{3}$ by $3 + 7 x + 4 x^{2} + 7 x^{3}$ .	12
92	Add $8 x^{2} - 15 x - 19$ and $7 - 7 x + 2 x^{2}$ .	12
93	Add $21 y - 140 y$ and $14 y - 64 y$ .	12
94	Add $5 x + 14$ and $2 x^{2} - 4 x + 3$ .	12
95	Multiply polynomial $1 + 4 i$ by $1 - 4 i$ .	11
96	Multiply polynomial $9 x$ by $2 x + 5$ .	11
97	Multiply polynomial $6 x^{4} + 4 x^{3} + 2 x^{2} + x - 2$ by $3 x^{2} + x - 1$ .	11
98	Multiply polynomial $5 + 3 x + 2 x$ by $2 x + 5$ .	11
99	Subtract polynomials: $6 a^{2} + 5 a + 10$ , $4 a^{2} + 6 a + 12$ .	11
100	Multiply polynomial $4 - 5 m$ by $4 - 5 m$ .	11